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Finding the Fourth Proportional to 1,134.47, 1,565.71 and 637.13

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Solution

The fourth proportional to 1,134.47, 1,565.71 and 637.13 is: 879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.47 : 1,565.71 = 637.13 : x
  2. Step 2: Convert to fraction form
    1,134.47/1,565.71 = 637.13/x
  3. Step 3: Cross multiply
    1,134.47x = 1,565.71 × 637.13
  4. Step 4: Simplify right side
    1,134.47x = 997,563.13
  5. Step 5: Solve for x
    x = 997,563.13/1,134.47
  6. Step 6: Final answer
    x = 879.32

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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.