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Finding the Fourth Proportional to 637.84, 954.92 and 586.81

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Solution

The fourth proportional to 637.84, 954.92 and 586.81 is: 878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 954.92 = 586.81 : x
  2. Step 2: Convert to fraction form
    637.84/954.92 = 586.81/x
  3. Step 3: Cross multiply
    637.84x = 954.92 × 586.81
  4. Step 4: Simplify right side
    637.84x = 560,359.27
  5. Step 5: Solve for x
    x = 560,359.27/637.84
  6. Step 6: Final answer
    x = 878.52

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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.