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Finding the Fourth Proportional to 623.67, 932.24 and 610.71

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Solution

The fourth proportional to 623.67, 932.24 and 610.71 is: 912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.67 : 932.24 = 610.71 : x
  2. Step 2: Convert to fraction form
    623.67/932.24 = 610.71/x
  3. Step 3: Cross multiply
    623.67x = 932.24 × 610.71
  4. Step 4: Simplify right side
    623.67x = 569,325.24
  5. Step 5: Solve for x
    x = 569,325.24/623.67
  6. Step 6: Final answer
    x = 912.86

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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.