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Finding the Fourth Proportional to 1,101.87, 1,652.49 and 452.46

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Solution

The fourth proportional to 1,101.87, 1,652.49 and 452.46 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.87 : 1,652.49 = 452.46 : x
  2. Step 2: Convert to fraction form
    1,101.87/1,652.49 = 452.46/x
  3. Step 3: Cross multiply
    1,101.87x = 1,652.49 × 452.46
  4. Step 4: Simplify right side
    1,101.87x = 747,685.63
  5. Step 5: Solve for x
    x = 747,685.63/1,101.87
  6. Step 6: Final answer
    x = 678.56

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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.