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Finding the Fourth Proportional to 1,013.14, 1,398.20 and 565.02

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Solution

The fourth proportional to 1,013.14, 1,398.20 and 565.02 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.14 : 1,398.20 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,013.14/1,398.20 = 565.02/x
  3. Step 3: Cross multiply
    1,013.14x = 1,398.20 × 565.02
  4. Step 4: Simplify right side
    1,013.14x = 790,010.96
  5. Step 5: Solve for x
    x = 790,010.96/1,013.14
  6. Step 6: Final answer
    x = 779.76

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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.