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Finding the Fourth Proportional to 683.72, 944.58 and 508.76

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Solution

The fourth proportional to 683.72, 944.58 and 508.76 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.72 : 944.58 = 508.76 : x
  2. Step 2: Convert to fraction form
    683.72/944.58 = 508.76/x
  3. Step 3: Cross multiply
    683.72x = 944.58 × 508.76
  4. Step 4: Simplify right side
    683.72x = 480,564.52
  5. Step 5: Solve for x
    x = 480,564.52/683.72
  6. Step 6: Final answer
    x = 702.87

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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.