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Finding the Fourth Proportional to 637.22, 958.14 and 586.47

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Solution

The fourth proportional to 637.22, 958.14 and 586.47 is: 881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.22 : 958.14 = 586.47 : x
  2. Step 2: Convert to fraction form
    637.22/958.14 = 586.47/x
  3. Step 3: Cross multiply
    637.22x = 958.14 × 586.47
  4. Step 4: Simplify right side
    637.22x = 561,920.37
  5. Step 5: Solve for x
    x = 561,920.37/637.22
  6. Step 6: Final answer
    x = 881.83

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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.