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Finding the Fourth Proportional to 901.64, 1,351.98 and 462.71

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Solution

The fourth proportional to 901.64, 1,351.98 and 462.71 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.64 : 1,351.98 = 462.71 : x
  2. Step 2: Convert to fraction form
    901.64/1,351.98 = 462.71/x
  3. Step 3: Cross multiply
    901.64x = 1,351.98 × 462.71
  4. Step 4: Simplify right side
    901.64x = 625,578.05
  5. Step 5: Solve for x
    x = 625,578.05/901.64
  6. Step 6: Final answer
    x = 693.82

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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.