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Finding the Fourth Proportional to 954.34, 1,432.32 and 467.53

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Solution

The fourth proportional to 954.34, 1,432.32 and 467.53 is: 701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.34 : 1,432.32 = 467.53 : x
  2. Step 2: Convert to fraction form
    954.34/1,432.32 = 467.53/x
  3. Step 3: Cross multiply
    954.34x = 1,432.32 × 467.53
  4. Step 4: Simplify right side
    954.34x = 669,652.57
  5. Step 5: Solve for x
    x = 669,652.57/954.34
  6. Step 6: Final answer
    x = 701.69

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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.