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Finding the Fourth Proportional to 954.86, 1,432.24 and 467.75

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Solution

The fourth proportional to 954.86, 1,432.24 and 467.75 is: 701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.86 : 1,432.24 = 467.75 : x
  2. Step 2: Convert to fraction form
    954.86/1,432.24 = 467.75/x
  3. Step 3: Cross multiply
    954.86x = 1,432.24 × 467.75
  4. Step 4: Simplify right side
    954.86x = 669,930.26
  5. Step 5: Solve for x
    x = 669,930.26/954.86
  6. Step 6: Final answer
    x = 701.60

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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.