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Finding the Fourth Proportional to 1,139.61, 1,572.71 and 697.38

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Solution

The fourth proportional to 1,139.61, 1,572.71 and 697.38 is: 962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.61 : 1,572.71 = 697.38 : x
  2. Step 2: Convert to fraction form
    1,139.61/1,572.71 = 697.38/x
  3. Step 3: Cross multiply
    1,139.61x = 1,572.71 × 697.38
  4. Step 4: Simplify right side
    1,139.61x = 1,096,770.38
  5. Step 5: Solve for x
    x = 1,096,770.38/1,139.61
  6. Step 6: Final answer
    x = 962.41

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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.