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Finding the Fourth Proportional to 951.62, 1,427.64 and 540.95

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Solution

The fourth proportional to 951.62, 1,427.64 and 540.95 is: 811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.62 : 1,427.64 = 540.95 : x
  2. Step 2: Convert to fraction form
    951.62/1,427.64 = 540.95/x
  3. Step 3: Cross multiply
    951.62x = 1,427.64 × 540.95
  4. Step 4: Simplify right side
    951.62x = 772,281.86
  5. Step 5: Solve for x
    x = 772,281.86/951.62
  6. Step 6: Final answer
    x = 811.54

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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.