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Finding the Fourth Proportional to 1,042.92, 1,564.11 and 494.01

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Solution

The fourth proportional to 1,042.92, 1,564.11 and 494.01 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.92 : 1,564.11 = 494.01 : x
  2. Step 2: Convert to fraction form
    1,042.92/1,564.11 = 494.01/x
  3. Step 3: Cross multiply
    1,042.92x = 1,564.11 × 494.01
  4. Step 4: Simplify right side
    1,042.92x = 772,685.98
  5. Step 5: Solve for x
    x = 772,685.98/1,042.92
  6. Step 6: Final answer
    x = 740.89

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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.