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Finding the Fourth Proportional to 1,035.83, 1,554.20 and 487.97

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Solution

The fourth proportional to 1,035.83, 1,554.20 and 487.97 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,554.20 = 487.97 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,554.20 = 487.97/x
  3. Step 3: Cross multiply
    1,035.83x = 1,554.20 × 487.97
  4. Step 4: Simplify right side
    1,035.83x = 758,402.97
  5. Step 5: Solve for x
    x = 758,402.97/1,035.83
  6. Step 6: Final answer
    x = 732.17

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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.