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Finding the Fourth Proportional to 1,397.61, 2,096.73 and 702.54

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Solution

The fourth proportional to 1,397.61, 2,096.73 and 702.54 is: 1,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.61 : 2,096.73 = 702.54 : x
  2. Step 2: Convert to fraction form
    1,397.61/2,096.73 = 702.54/x
  3. Step 3: Cross multiply
    1,397.61x = 2,096.73 × 702.54
  4. Step 4: Simplify right side
    1,397.61x = 1,473,036.69
  5. Step 5: Solve for x
    x = 1,473,036.69/1,397.61
  6. Step 6: Final answer
    x = 1,053.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.