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Finding the Fourth Proportional to 1,121.75, 1,682.90 and 352.25

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Solution

The fourth proportional to 1,121.75, 1,682.90 and 352.25 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.75 : 1,682.90 = 352.25 : x
  2. Step 2: Convert to fraction form
    1,121.75/1,682.90 = 352.25/x
  3. Step 3: Cross multiply
    1,121.75x = 1,682.90 × 352.25
  4. Step 4: Simplify right side
    1,121.75x = 592,799.76
  5. Step 5: Solve for x
    x = 592,799.76/1,121.75
  6. Step 6: Final answer
    x = 528.46

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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.