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Finding the Fourth Proportional to 1,456.57, 2,184.99 and 725.68

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Solution

The fourth proportional to 1,456.57, 2,184.99 and 725.68 is: 1,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.57 : 2,184.99 = 725.68 : x
  2. Step 2: Convert to fraction form
    1,456.57/2,184.99 = 725.68/x
  3. Step 3: Cross multiply
    1,456.57x = 2,184.99 × 725.68
  4. Step 4: Simplify right side
    1,456.57x = 1,585,603.54
  5. Step 5: Solve for x
    x = 1,585,603.54/1,456.57
  6. Step 6: Final answer
    x = 1,088.59

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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.