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Finding the Fourth Proportional to 954.69, 1,432.52 and 406.72

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Solution

The fourth proportional to 954.69, 1,432.52 and 406.72 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,432.52 = 406.72 : x
  2. Step 2: Convert to fraction form
    954.69/1,432.52 = 406.72/x
  3. Step 3: Cross multiply
    954.69x = 1,432.52 × 406.72
  4. Step 4: Simplify right side
    954.69x = 582,637.53
  5. Step 5: Solve for x
    x = 582,637.53/954.69
  6. Step 6: Final answer
    x = 610.29

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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.