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Finding the Fourth Proportional to 1,015.92, 1,522.65 and 726.75

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Solution

The fourth proportional to 1,015.92, 1,522.65 and 726.75 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.92 : 1,522.65 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,015.92/1,522.65 = 726.75/x
  3. Step 3: Cross multiply
    1,015.92x = 1,522.65 × 726.75
  4. Step 4: Simplify right side
    1,015.92x = 1,106,585.89
  5. Step 5: Solve for x
    x = 1,106,585.89/1,015.92
  6. Step 6: Final answer
    x = 1,089.25

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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.