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Finding the Fourth Proportional to 1,132.54, 1,698.68 and 352.60

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Solution

The fourth proportional to 1,132.54, 1,698.68 and 352.60 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.54 : 1,698.68 = 352.60 : x
  2. Step 2: Convert to fraction form
    1,132.54/1,698.68 = 352.60/x
  3. Step 3: Cross multiply
    1,132.54x = 1,698.68 × 352.60
  4. Step 4: Simplify right side
    1,132.54x = 598,954.57
  5. Step 5: Solve for x
    x = 598,954.57/1,132.54
  6. Step 6: Final answer
    x = 528.86

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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.