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Finding the Fourth Proportional to 869.72, 1,301.49 and 638.06

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Solution

The fourth proportional to 869.72, 1,301.49 and 638.06 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.72 : 1,301.49 = 638.06 : x
  2. Step 2: Convert to fraction form
    869.72/1,301.49 = 638.06/x
  3. Step 3: Cross multiply
    869.72x = 1,301.49 × 638.06
  4. Step 4: Simplify right side
    869.72x = 830,422.20
  5. Step 5: Solve for x
    x = 830,422.20/869.72
  6. Step 6: Final answer
    x = 954.82

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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.