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Finding the Fourth Proportional to 1,008.78, 1,391.94 and 566.70

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Solution

The fourth proportional to 1,008.78, 1,391.94 and 566.70 is: 781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.78 : 1,391.94 = 566.70 : x
  2. Step 2: Convert to fraction form
    1,008.78/1,391.94 = 566.70/x
  3. Step 3: Cross multiply
    1,008.78x = 1,391.94 × 566.70
  4. Step 4: Simplify right side
    1,008.78x = 788,812.40
  5. Step 5: Solve for x
    x = 788,812.40/1,008.78
  6. Step 6: Final answer
    x = 781.95

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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.