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Finding the Fourth Proportional to 1,008.64, 1,391.80 and 566.43

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Solution

The fourth proportional to 1,008.64, 1,391.80 and 566.43 is: 781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.64 : 1,391.80 = 566.43 : x
  2. Step 2: Convert to fraction form
    1,008.64/1,391.80 = 566.43/x
  3. Step 3: Cross multiply
    1,008.64x = 1,391.80 × 566.43
  4. Step 4: Simplify right side
    1,008.64x = 788,357.27
  5. Step 5: Solve for x
    x = 788,357.27/1,008.64
  6. Step 6: Final answer
    x = 781.60

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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.