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Finding the Fourth Proportional to 1,162.62, 1,744.07 and 469.35

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Solution

The fourth proportional to 1,162.62, 1,744.07 and 469.35 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.62 : 1,744.07 = 469.35 : x
  2. Step 2: Convert to fraction form
    1,162.62/1,744.07 = 469.35/x
  3. Step 3: Cross multiply
    1,162.62x = 1,744.07 × 469.35
  4. Step 4: Simplify right side
    1,162.62x = 818,576.91
  5. Step 5: Solve for x
    x = 818,576.91/1,162.62
  6. Step 6: Final answer
    x = 704.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.