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Finding the Fourth Proportional to 1,146.35, 1,582.23 and 726.57

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Solution

The fourth proportional to 1,146.35, 1,582.23 and 726.57 is: 1,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.35 : 1,582.23 = 726.57 : x
  2. Step 2: Convert to fraction form
    1,146.35/1,582.23 = 726.57/x
  3. Step 3: Cross multiply
    1,146.35x = 1,582.23 × 726.57
  4. Step 4: Simplify right side
    1,146.35x = 1,149,603.58
  5. Step 5: Solve for x
    x = 1,149,603.58/1,146.35
  6. Step 6: Final answer
    x = 1,002.84

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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.