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Finding the Fourth Proportional to 1,159.07, 1,741.02 and 726.53

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Solution

The fourth proportional to 1,159.07, 1,741.02 and 726.53 is: 1,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.07 : 1,741.02 = 726.53 : x
  2. Step 2: Convert to fraction form
    1,159.07/1,741.02 = 726.53/x
  3. Step 3: Cross multiply
    1,159.07x = 1,741.02 × 726.53
  4. Step 4: Simplify right side
    1,159.07x = 1,264,894.56
  5. Step 5: Solve for x
    x = 1,264,894.56/1,159.07
  6. Step 6: Final answer
    x = 1,091.31

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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.