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Finding the Fourth Proportional to 1,458.41, 2,184.57 and 725.76

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Solution

The fourth proportional to 1,458.41, 2,184.57 and 725.76 is: 1,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.41 : 2,184.57 = 725.76 : x
  2. Step 2: Convert to fraction form
    1,458.41/2,184.57 = 725.76/x
  3. Step 3: Cross multiply
    1,458.41x = 2,184.57 × 725.76
  4. Step 4: Simplify right side
    1,458.41x = 1,585,473.52
  5. Step 5: Solve for x
    x = 1,585,473.52/1,458.41
  6. Step 6: Final answer
    x = 1,087.13

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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.