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Finding the Fourth Proportional to 1,456.84, 2,184.88 and 725.88

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Solution

The fourth proportional to 1,456.84, 2,184.88 and 725.88 is: 1,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.84 : 2,184.88 = 725.88 : x
  2. Step 2: Convert to fraction form
    1,456.84/2,184.88 = 725.88/x
  3. Step 3: Cross multiply
    1,456.84x = 2,184.88 × 725.88
  4. Step 4: Simplify right side
    1,456.84x = 1,585,960.69
  5. Step 5: Solve for x
    x = 1,585,960.69/1,456.84
  6. Step 6: Final answer
    x = 1,088.63

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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.