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Finding the Fourth Proportional to 821.48, 1,232.25 and 410.87

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Solution

The fourth proportional to 821.48, 1,232.25 and 410.87 is: 616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.48 : 1,232.25 = 410.87 : x
  2. Step 2: Convert to fraction form
    821.48/1,232.25 = 410.87/x
  3. Step 3: Cross multiply
    821.48x = 1,232.25 × 410.87
  4. Step 4: Simplify right side
    821.48x = 506,296.10
  5. Step 5: Solve for x
    x = 506,296.10/821.48
  6. Step 6: Final answer
    x = 616.33

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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.