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Finding the Fourth Proportional to 1,061.69, 1,593.36 and 476.48

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Solution

The fourth proportional to 1,061.69, 1,593.36 and 476.48 is: 715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.69 : 1,593.36 = 476.48 : x
  2. Step 2: Convert to fraction form
    1,061.69/1,593.36 = 476.48/x
  3. Step 3: Cross multiply
    1,061.69x = 1,593.36 × 476.48
  4. Step 4: Simplify right side
    1,061.69x = 759,204.17
  5. Step 5: Solve for x
    x = 759,204.17/1,061.69
  6. Step 6: Final answer
    x = 715.09

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