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Finding the Fourth Proportional to 1,134.57, 1,565.64 and 637.23

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Solution

The fourth proportional to 1,134.57, 1,565.64 and 637.23 is: 879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.57 : 1,565.64 = 637.23 : x
  2. Step 2: Convert to fraction form
    1,134.57/1,565.64 = 637.23/x
  3. Step 3: Cross multiply
    1,134.57x = 1,565.64 × 637.23
  4. Step 4: Simplify right side
    1,134.57x = 997,669.30
  5. Step 5: Solve for x
    x = 997,669.30/1,134.57
  6. Step 6: Final answer
    x = 879.34

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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.