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Finding the Fourth Proportional to 1,047.49, 1,572.30 and 818.92

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Solution

The fourth proportional to 1,047.49, 1,572.30 and 818.92 is: 1,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.49 : 1,572.30 = 818.92 : x
  2. Step 2: Convert to fraction form
    1,047.49/1,572.30 = 818.92/x
  3. Step 3: Cross multiply
    1,047.49x = 1,572.30 × 818.92
  4. Step 4: Simplify right side
    1,047.49x = 1,287,587.92
  5. Step 5: Solve for x
    x = 1,287,587.92/1,047.49
  6. Step 6: Final answer
    x = 1,229.21

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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.