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Finding the Fourth Proportional to 1,114.35, 1,671.76 and 334.32

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Solution

The fourth proportional to 1,114.35, 1,671.76 and 334.32 is: 501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.35 : 1,671.76 = 334.32 : x
  2. Step 2: Convert to fraction form
    1,114.35/1,671.76 = 334.32/x
  3. Step 3: Cross multiply
    1,114.35x = 1,671.76 × 334.32
  4. Step 4: Simplify right side
    1,114.35x = 558,902.80
  5. Step 5: Solve for x
    x = 558,902.80/1,114.35
  6. Step 6: Final answer
    x = 501.55

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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.