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Finding the Fourth Proportional to 821.50, 1,230.71 and 410.15

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Solution

The fourth proportional to 821.50, 1,230.71 and 410.15 is: 614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.50 : 1,230.71 = 410.15 : x
  2. Step 2: Convert to fraction form
    821.50/1,230.71 = 410.15/x
  3. Step 3: Cross multiply
    821.50x = 1,230.71 × 410.15
  4. Step 4: Simplify right side
    821.50x = 504,775.71
  5. Step 5: Solve for x
    x = 504,775.71/821.50
  6. Step 6: Final answer
    x = 614.46

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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.