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Finding the Fourth Proportional to 1,324.50, 1,827.18 and 931.74

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Solution

The fourth proportional to 1,324.50, 1,827.18 and 931.74 is: 1,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.50 : 1,827.18 = 931.74 : x
  2. Step 2: Convert to fraction form
    1,324.50/1,827.18 = 931.74/x
  3. Step 3: Cross multiply
    1,324.50x = 1,827.18 × 931.74
  4. Step 4: Simplify right side
    1,324.50x = 1,702,456.69
  5. Step 5: Solve for x
    x = 1,702,456.69/1,324.50
  6. Step 6: Final answer
    x = 1,285.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.