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Finding the Fourth Proportional to 1,162.17, 1,741.14 and 674.19

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Solution

The fourth proportional to 1,162.17, 1,741.14 and 674.19 is: 1,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.17 : 1,741.14 = 674.19 : x
  2. Step 2: Convert to fraction form
    1,162.17/1,741.14 = 674.19/x
  3. Step 3: Cross multiply
    1,162.17x = 1,741.14 × 674.19
  4. Step 4: Simplify right side
    1,162.17x = 1,173,859.18
  5. Step 5: Solve for x
    x = 1,173,859.18/1,162.17
  6. Step 6: Final answer
    x = 1,010.06

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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.