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Finding the Fourth Proportional to 840.26, 1,159.68 and 491.14

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Solution

The fourth proportional to 840.26, 1,159.68 and 491.14 is: 677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.26 : 1,159.68 = 491.14 : x
  2. Step 2: Convert to fraction form
    840.26/1,159.68 = 491.14/x
  3. Step 3: Cross multiply
    840.26x = 1,159.68 × 491.14
  4. Step 4: Simplify right side
    840.26x = 569,565.24
  5. Step 5: Solve for x
    x = 569,565.24/840.26
  6. Step 6: Final answer
    x = 677.84

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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.