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Finding the Fourth Proportional to 1,013.72, 1,398.96 and 559.45

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Solution

The fourth proportional to 1,013.72, 1,398.96 and 559.45 is: 772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.72 : 1,398.96 = 559.45 : x
  2. Step 2: Convert to fraction form
    1,013.72/1,398.96 = 559.45/x
  3. Step 3: Cross multiply
    1,013.72x = 1,398.96 × 559.45
  4. Step 4: Simplify right side
    1,013.72x = 782,649.92
  5. Step 5: Solve for x
    x = 782,649.92/1,013.72
  6. Step 6: Final answer
    x = 772.06

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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.