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Finding the Fourth Proportional to 873.17, 1,309.65 and 824.97

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Solution

The fourth proportional to 873.17, 1,309.65 and 824.97 is: 1,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.17 : 1,309.65 = 824.97 : x
  2. Step 2: Convert to fraction form
    873.17/1,309.65 = 824.97/x
  3. Step 3: Cross multiply
    873.17x = 1,309.65 × 824.97
  4. Step 4: Simplify right side
    873.17x = 1,080,421.96
  5. Step 5: Solve for x
    x = 1,080,421.96/873.17
  6. Step 6: Final answer
    x = 1,237.36

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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.