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Finding the Fourth Proportional to 1,004.39, 1,385.91 and 562.29

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Solution

The fourth proportional to 1,004.39, 1,385.91 and 562.29 is: 775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.39 : 1,385.91 = 562.29 : x
  2. Step 2: Convert to fraction form
    1,004.39/1,385.91 = 562.29/x
  3. Step 3: Cross multiply
    1,004.39x = 1,385.91 × 562.29
  4. Step 4: Simplify right side
    1,004.39x = 779,283.33
  5. Step 5: Solve for x
    x = 779,283.33/1,004.39
  6. Step 6: Final answer
    x = 775.88

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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.