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Finding the Fourth Proportional to 821.79, 1,232.04 and 410.72

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Solution

The fourth proportional to 821.79, 1,232.04 and 410.72 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,232.04 = 410.72 : x
  2. Step 2: Convert to fraction form
    821.79/1,232.04 = 410.72/x
  3. Step 3: Cross multiply
    821.79x = 1,232.04 × 410.72
  4. Step 4: Simplify right side
    821.79x = 506,017.31
  5. Step 5: Solve for x
    x = 506,017.31/821.79
  6. Step 6: Final answer
    x = 615.75

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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.