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Finding the Fourth Proportional to 1,025.55, 1,539.68 and 477.43

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Solution

The fourth proportional to 1,025.55, 1,539.68 and 477.43 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.55 : 1,539.68 = 477.43 : x
  2. Step 2: Convert to fraction form
    1,025.55/1,539.68 = 477.43/x
  3. Step 3: Cross multiply
    1,025.55x = 1,539.68 × 477.43
  4. Step 4: Simplify right side
    1,025.55x = 735,083.19
  5. Step 5: Solve for x
    x = 735,083.19/1,025.55
  6. Step 6: Final answer
    x = 716.77

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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.