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Finding the Fourth Proportional to 1,001.08, 1,489.73 and 962.20

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Solution

The fourth proportional to 1,001.08, 1,489.73 and 962.20 is: 1,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.08 : 1,489.73 = 962.20 : x
  2. Step 2: Convert to fraction form
    1,001.08/1,489.73 = 962.20/x
  3. Step 3: Cross multiply
    1,001.08x = 1,489.73 × 962.20
  4. Step 4: Simplify right side
    1,001.08x = 1,433,418.21
  5. Step 5: Solve for x
    x = 1,433,418.21/1,001.08
  6. Step 6: Final answer
    x = 1,431.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.