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Finding the Fourth Proportional to 1,132.41, 1,697.97 and 352.17

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Solution

The fourth proportional to 1,132.41, 1,697.97 and 352.17 is: 528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.41 : 1,697.97 = 352.17 : x
  2. Step 2: Convert to fraction form
    1,132.41/1,697.97 = 352.17/x
  3. Step 3: Cross multiply
    1,132.41x = 1,697.97 × 352.17
  4. Step 4: Simplify right side
    1,132.41x = 597,974.09
  5. Step 5: Solve for x
    x = 597,974.09/1,132.41
  6. Step 6: Final answer
    x = 528.05

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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.