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Finding the Fourth Proportional to 1,162.66, 1,742.77 and 723.91

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Solution

The fourth proportional to 1,162.66, 1,742.77 and 723.91 is: 1,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.66 : 1,742.77 = 723.91 : x
  2. Step 2: Convert to fraction form
    1,162.66/1,742.77 = 723.91/x
  3. Step 3: Cross multiply
    1,162.66x = 1,742.77 × 723.91
  4. Step 4: Simplify right side
    1,162.66x = 1,261,608.63
  5. Step 5: Solve for x
    x = 1,261,608.63/1,162.66
  6. Step 6: Final answer
    x = 1,085.11

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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.