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Finding the Fourth Proportional to 1,139.33, 1,572.40 and 697.29

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Solution

The fourth proportional to 1,139.33, 1,572.40 and 697.29 is: 962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.33 : 1,572.40 = 697.29 : x
  2. Step 2: Convert to fraction form
    1,139.33/1,572.40 = 697.29/x
  3. Step 3: Cross multiply
    1,139.33x = 1,572.40 × 697.29
  4. Step 4: Simplify right side
    1,139.33x = 1,096,418.80
  5. Step 5: Solve for x
    x = 1,096,418.80/1,139.33
  6. Step 6: Final answer
    x = 962.34

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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.