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Finding the Fourth Proportional to 1,013.84, 1,397.58 and 681.52

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Solution

The fourth proportional to 1,013.84, 1,397.58 and 681.52 is: 939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.84 : 1,397.58 = 681.52 : x
  2. Step 2: Convert to fraction form
    1,013.84/1,397.58 = 681.52/x
  3. Step 3: Cross multiply
    1,013.84x = 1,397.58 × 681.52
  4. Step 4: Simplify right side
    1,013.84x = 952,478.72
  5. Step 5: Solve for x
    x = 952,478.72/1,013.84
  6. Step 6: Final answer
    x = 939.48

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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.