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Finding the Fourth Proportional to 872.49, 1,307.85 and 410.52

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Solution

The fourth proportional to 872.49, 1,307.85 and 410.52 is: 615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.49 : 1,307.85 = 410.52 : x
  2. Step 2: Convert to fraction form
    872.49/1,307.85 = 410.52/x
  3. Step 3: Cross multiply
    872.49x = 1,307.85 × 410.52
  4. Step 4: Simplify right side
    872.49x = 536,898.58
  5. Step 5: Solve for x
    x = 536,898.58/872.49
  6. Step 6: Final answer
    x = 615.36

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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.