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Finding the Fourth Proportional to 1,008.57, 1,391.94 and 566.47

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Solution

The fourth proportional to 1,008.57, 1,391.94 and 566.47 is: 781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.57 : 1,391.94 = 566.47 : x
  2. Step 2: Convert to fraction form
    1,008.57/1,391.94 = 566.47/x
  3. Step 3: Cross multiply
    1,008.57x = 1,391.94 × 566.47
  4. Step 4: Simplify right side
    1,008.57x = 788,486.16
  5. Step 5: Solve for x
    x = 788,486.16/1,008.57
  6. Step 6: Final answer
    x = 781.79

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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.