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Finding the Fourth Proportional to 1,013.66, 1,398.78 and 565.48

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Solution

The fourth proportional to 1,013.66, 1,398.78 and 565.48 is: 780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.66 : 1,398.78 = 565.48 : x
  2. Step 2: Convert to fraction form
    1,013.66/1,398.78 = 565.48/x
  3. Step 3: Cross multiply
    1,013.66x = 1,398.78 × 565.48
  4. Step 4: Simplify right side
    1,013.66x = 790,983.86
  5. Step 5: Solve for x
    x = 790,983.86/1,013.66
  6. Step 6: Final answer
    x = 780.33

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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.