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Finding the Fourth Proportional to 1,061.93, 1,593.28 and 476.87

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Solution

The fourth proportional to 1,061.93, 1,593.28 and 476.87 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.93 : 1,593.28 = 476.87 : x
  2. Step 2: Convert to fraction form
    1,061.93/1,593.28 = 476.87/x
  3. Step 3: Cross multiply
    1,061.93x = 1,593.28 × 476.87
  4. Step 4: Simplify right side
    1,061.93x = 759,790.22
  5. Step 5: Solve for x
    x = 759,790.22/1,061.93
  6. Step 6: Final answer
    x = 715.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.