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Finding the Fourth Proportional to 628.98, 938.68 and 587.20

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Solution

The fourth proportional to 628.98, 938.68 and 587.20 is: 876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.98 : 938.68 = 587.20 : x
  2. Step 2: Convert to fraction form
    628.98/938.68 = 587.20/x
  3. Step 3: Cross multiply
    628.98x = 938.68 × 587.20
  4. Step 4: Simplify right side
    628.98x = 551,193.82
  5. Step 5: Solve for x
    x = 551,193.82/628.98
  6. Step 6: Final answer
    x = 876.34

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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.