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Finding the Fourth Proportional to 1,008.02, 1,391.03 and 565.94

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Solution

The fourth proportional to 1,008.02, 1,391.03 and 565.94 is: 780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.02 : 1,391.03 = 565.94 : x
  2. Step 2: Convert to fraction form
    1,008.02/1,391.03 = 565.94/x
  3. Step 3: Cross multiply
    1,008.02x = 1,391.03 × 565.94
  4. Step 4: Simplify right side
    1,008.02x = 787,229.73
  5. Step 5: Solve for x
    x = 787,229.73/1,008.02
  6. Step 6: Final answer
    x = 780.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.