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Finding the Fourth Proportional to 938.30, 1,295.06 and 624.11

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Solution

The fourth proportional to 938.30, 1,295.06 and 624.11 is: 861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.30 : 1,295.06 = 624.11 : x
  2. Step 2: Convert to fraction form
    938.30/1,295.06 = 624.11/x
  3. Step 3: Cross multiply
    938.30x = 1,295.06 × 624.11
  4. Step 4: Simplify right side
    938.30x = 808,250.30
  5. Step 5: Solve for x
    x = 808,250.30/938.30
  6. Step 6: Final answer
    x = 861.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.