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Finding the Fourth Proportional to 872.48, 1,309.12 and 409.98

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Solution

The fourth proportional to 872.48, 1,309.12 and 409.98 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.48 : 1,309.12 = 409.98 : x
  2. Step 2: Convert to fraction form
    872.48/1,309.12 = 409.98/x
  3. Step 3: Cross multiply
    872.48x = 1,309.12 × 409.98
  4. Step 4: Simplify right side
    872.48x = 536,713.02
  5. Step 5: Solve for x
    x = 536,713.02/872.48
  6. Step 6: Final answer
    x = 615.16

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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.