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Finding the Fourth Proportional to 816.30, 1,126.08 and 726.52

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Solution

The fourth proportional to 816.30, 1,126.08 and 726.52 is: 1,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,126.08 = 726.52 : x
  2. Step 2: Convert to fraction form
    816.30/1,126.08 = 726.52/x
  3. Step 3: Cross multiply
    816.30x = 1,126.08 × 726.52
  4. Step 4: Simplify right side
    816.30x = 818,119.64
  5. Step 5: Solve for x
    x = 818,119.64/816.30
  6. Step 6: Final answer
    x = 1,002.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.