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Finding the Fourth Proportional to 1,114.32, 1,671.14 and 383.73

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Solution

The fourth proportional to 1,114.32, 1,671.14 and 383.73 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,671.14 = 383.73 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,671.14 = 383.73/x
  3. Step 3: Cross multiply
    1,114.32x = 1,671.14 × 383.73
  4. Step 4: Simplify right side
    1,114.32x = 641,258.20
  5. Step 5: Solve for x
    x = 641,258.20/1,114.32
  6. Step 6: Final answer
    x = 575.47

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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.