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Finding the Fourth Proportional to 1,035.10, 1,551.92 and 486.75

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Solution

The fourth proportional to 1,035.10, 1,551.92 and 486.75 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.10 : 1,551.92 = 486.75 : x
  2. Step 2: Convert to fraction form
    1,035.10/1,551.92 = 486.75/x
  3. Step 3: Cross multiply
    1,035.10x = 1,551.92 × 486.75
  4. Step 4: Simplify right side
    1,035.10x = 755,398.28
  5. Step 5: Solve for x
    x = 755,398.28/1,035.10
  6. Step 6: Final answer
    x = 729.78

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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.