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Finding the Fourth Proportional to 1,013.73, 1,398.95 and 547.98

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Solution

The fourth proportional to 1,013.73, 1,398.95 and 547.98 is: 756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.73 : 1,398.95 = 547.98 : x
  2. Step 2: Convert to fraction form
    1,013.73/1,398.95 = 547.98/x
  3. Step 3: Cross multiply
    1,013.73x = 1,398.95 × 547.98
  4. Step 4: Simplify right side
    1,013.73x = 766,595.94
  5. Step 5: Solve for x
    x = 766,595.94/1,013.73
  6. Step 6: Final answer
    x = 756.21

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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.