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Finding the Fourth Proportional to 689.78, 951.54 and 468.66

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Solution

The fourth proportional to 689.78, 951.54 and 468.66 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 951.54 = 468.66 : x
  2. Step 2: Convert to fraction form
    689.78/951.54 = 468.66/x
  3. Step 3: Cross multiply
    689.78x = 951.54 × 468.66
  4. Step 4: Simplify right side
    689.78x = 445,948.74
  5. Step 5: Solve for x
    x = 445,948.74/689.78
  6. Step 6: Final answer
    x = 646.51

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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.