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Finding the Fourth Proportional to 1,549.89, 2,322.87 and 726.35

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Solution

The fourth proportional to 1,549.89, 2,322.87 and 726.35 is: 1,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.89 : 2,322.87 = 726.35 : x
  2. Step 2: Convert to fraction form
    1,549.89/2,322.87 = 726.35/x
  3. Step 3: Cross multiply
    1,549.89x = 2,322.87 × 726.35
  4. Step 4: Simplify right side
    1,549.89x = 1,687,219.71
  5. Step 5: Solve for x
    x = 1,687,219.71/1,549.89
  6. Step 6: Final answer
    x = 1,088.60

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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.