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Finding the Fourth Proportional to 1,132.39, 1,698.75 and 352.45

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Solution

The fourth proportional to 1,132.39, 1,698.75 and 352.45 is: 528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.39 : 1,698.75 = 352.45 : x
  2. Step 2: Convert to fraction form
    1,132.39/1,698.75 = 352.45/x
  3. Step 3: Cross multiply
    1,132.39x = 1,698.75 × 352.45
  4. Step 4: Simplify right side
    1,132.39x = 598,725.57
  5. Step 5: Solve for x
    x = 598,725.57/1,132.39
  6. Step 6: Final answer
    x = 528.73

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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.