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Finding the Fourth Proportional to 1,138.67, 1,708.09 and 398.15

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Solution

The fourth proportional to 1,138.67, 1,708.09 and 398.15 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.67 : 1,708.09 = 398.15 : x
  2. Step 2: Convert to fraction form
    1,138.67/1,708.09 = 398.15/x
  3. Step 3: Cross multiply
    1,138.67x = 1,708.09 × 398.15
  4. Step 4: Simplify right side
    1,138.67x = 680,066.50
  5. Step 5: Solve for x
    x = 680,066.50/1,138.67
  6. Step 6: Final answer
    x = 597.25

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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.