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Finding the Fourth Proportional to 1,040.58, 1,436.52 and 726.12

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Solution

The fourth proportional to 1,040.58, 1,436.52 and 726.12 is: 1,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.58 : 1,436.52 = 726.12 : x
  2. Step 2: Convert to fraction form
    1,040.58/1,436.52 = 726.12/x
  3. Step 3: Cross multiply
    1,040.58x = 1,436.52 × 726.12
  4. Step 4: Simplify right side
    1,040.58x = 1,043,085.90
  5. Step 5: Solve for x
    x = 1,043,085.90/1,040.58
  6. Step 6: Final answer
    x = 1,002.41

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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.