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Finding the Fourth Proportional to 1,134.77, 1,565.26 and 714.39

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Solution

The fourth proportional to 1,134.77, 1,565.26 and 714.39 is: 985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.77 : 1,565.26 = 714.39 : x
  2. Step 2: Convert to fraction form
    1,134.77/1,565.26 = 714.39/x
  3. Step 3: Cross multiply
    1,134.77x = 1,565.26 × 714.39
  4. Step 4: Simplify right side
    1,134.77x = 1,118,198.44
  5. Step 5: Solve for x
    x = 1,118,198.44/1,134.77
  6. Step 6: Final answer
    x = 985.40

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Find fourth proportional to 567.38, 782.63 and 357.19
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.