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Finding the Fourth Proportional to 1,114.15, 1,671.22 and 292.41

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Solution

The fourth proportional to 1,114.15, 1,671.22 and 292.41 is: 438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.15 : 1,671.22 = 292.41 : x
  2. Step 2: Convert to fraction form
    1,114.15/1,671.22 = 292.41/x
  3. Step 3: Cross multiply
    1,114.15x = 1,671.22 × 292.41
  4. Step 4: Simplify right side
    1,114.15x = 488,680.16
  5. Step 5: Solve for x
    x = 488,680.16/1,114.15
  6. Step 6: Final answer
    x = 438.61

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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.