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Finding the Fourth Proportional to 1,013.71, 1,398.25 and 698.98

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Solution

The fourth proportional to 1,013.71, 1,398.25 and 698.98 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.71 : 1,398.25 = 698.98 : x
  2. Step 2: Convert to fraction form
    1,013.71/1,398.25 = 698.98/x
  3. Step 3: Cross multiply
    1,013.71x = 1,398.25 × 698.98
  4. Step 4: Simplify right side
    1,013.71x = 977,352.28
  5. Step 5: Solve for x
    x = 977,352.28/1,013.71
  6. Step 6: Final answer
    x = 964.14

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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.