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Finding the Fourth Proportional to 1,053.94, 1,580.92 and 476.14

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Solution

The fourth proportional to 1,053.94, 1,580.92 and 476.14 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.94 : 1,580.92 = 476.14 : x
  2. Step 2: Convert to fraction form
    1,053.94/1,580.92 = 476.14/x
  3. Step 3: Cross multiply
    1,053.94x = 1,580.92 × 476.14
  4. Step 4: Simplify right side
    1,053.94x = 752,736.49
  5. Step 5: Solve for x
    x = 752,736.49/1,053.94
  6. Step 6: Final answer
    x = 714.21

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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.