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Finding the Fourth Proportional to 951.87, 1,314.20 and 598.28

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Solution

The fourth proportional to 951.87, 1,314.20 and 598.28 is: 826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.87 : 1,314.20 = 598.28 : x
  2. Step 2: Convert to fraction form
    951.87/1,314.20 = 598.28/x
  3. Step 3: Cross multiply
    951.87x = 1,314.20 × 598.28
  4. Step 4: Simplify right side
    951.87x = 786,256.58
  5. Step 5: Solve for x
    x = 786,256.58/951.87
  6. Step 6: Final answer
    x = 826.01

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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.