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Finding the Fourth Proportional to 1,165.73, 1,748.08 and 726.32

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Solution

The fourth proportional to 1,165.73, 1,748.08 and 726.32 is: 1,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.73 : 1,748.08 = 726.32 : x
  2. Step 2: Convert to fraction form
    1,165.73/1,748.08 = 726.32/x
  3. Step 3: Cross multiply
    1,165.73x = 1,748.08 × 726.32
  4. Step 4: Simplify right side
    1,165.73x = 1,269,670.74
  5. Step 5: Solve for x
    x = 1,269,670.74/1,165.73
  6. Step 6: Final answer
    x = 1,089.16

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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.