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Finding the Fourth Proportional to 951.39, 1,427.70 and 464.17

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Solution

The fourth proportional to 951.39, 1,427.70 and 464.17 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.39 : 1,427.70 = 464.17 : x
  2. Step 2: Convert to fraction form
    951.39/1,427.70 = 464.17/x
  3. Step 3: Cross multiply
    951.39x = 1,427.70 × 464.17
  4. Step 4: Simplify right side
    951.39x = 662,695.51
  5. Step 5: Solve for x
    x = 662,695.51/951.39
  6. Step 6: Final answer
    x = 696.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.