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Finding the Fourth Proportional to 1,132.13, 1,562.43 and 666.47

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Solution

The fourth proportional to 1,132.13, 1,562.43 and 666.47 is: 919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.13 : 1,562.43 = 666.47 : x
  2. Step 2: Convert to fraction form
    1,132.13/1,562.43 = 666.47/x
  3. Step 3: Cross multiply
    1,132.13x = 1,562.43 × 666.47
  4. Step 4: Simplify right side
    1,132.13x = 1,041,312.72
  5. Step 5: Solve for x
    x = 1,041,312.72/1,132.13
  6. Step 6: Final answer
    x = 919.78

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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.