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Finding the Fourth Proportional to 872.19, 1,308.15 and 824.00

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Solution

The fourth proportional to 872.19, 1,308.15 and 824.00 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.19 : 1,308.15 = 824.00 : x
  2. Step 2: Convert to fraction form
    872.19/1,308.15 = 824.00/x
  3. Step 3: Cross multiply
    872.19x = 1,308.15 × 824.00
  4. Step 4: Simplify right side
    872.19x = 1,077,909.06
  5. Step 5: Solve for x
    x = 1,077,909.06/872.19
  6. Step 6: Final answer
    x = 1,235.86

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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.