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Finding the Fourth Proportional to 1,487.73, 2,052.99 and 824.61

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Solution

The fourth proportional to 1,487.73, 2,052.99 and 824.61 is: 1,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.73 : 2,052.99 = 824.61 : x
  2. Step 2: Convert to fraction form
    1,487.73/2,052.99 = 824.61/x
  3. Step 3: Cross multiply
    1,487.73x = 2,052.99 × 824.61
  4. Step 4: Simplify right side
    1,487.73x = 1,692,916.08
  5. Step 5: Solve for x
    x = 1,692,916.08/1,487.73
  6. Step 6: Final answer
    x = 1,137.92

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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.