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Finding the Fourth Proportional to 1,114.50, 1,672.17 and 465.78

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Solution

The fourth proportional to 1,114.50, 1,672.17 and 465.78 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.50 : 1,672.17 = 465.78 : x
  2. Step 2: Convert to fraction form
    1,114.50/1,672.17 = 465.78/x
  3. Step 3: Cross multiply
    1,114.50x = 1,672.17 × 465.78
  4. Step 4: Simplify right side
    1,114.50x = 778,863.34
  5. Step 5: Solve for x
    x = 778,863.34/1,114.50
  6. Step 6: Final answer
    x = 698.85

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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.