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Finding the Fourth Proportional to 689.83, 951.98 and 375.11

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Solution

The fourth proportional to 689.83, 951.98 and 375.11 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 951.98 = 375.11 : x
  2. Step 2: Convert to fraction form
    689.83/951.98 = 375.11/x
  3. Step 3: Cross multiply
    689.83x = 951.98 × 375.11
  4. Step 4: Simplify right side
    689.83x = 357,097.72
  5. Step 5: Solve for x
    x = 357,097.72/689.83
  6. Step 6: Final answer
    x = 517.66

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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.