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Finding the Fourth Proportional to 1,246.67, 1,869.54 and 424.72

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Solution

The fourth proportional to 1,246.67, 1,869.54 and 424.72 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.67 : 1,869.54 = 424.72 : x
  2. Step 2: Convert to fraction form
    1,246.67/1,869.54 = 424.72/x
  3. Step 3: Cross multiply
    1,246.67x = 1,869.54 × 424.72
  4. Step 4: Simplify right side
    1,246.67x = 794,031.03
  5. Step 5: Solve for x
    x = 794,031.03/1,246.67
  6. Step 6: Final answer
    x = 636.92

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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.