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Finding the Fourth Proportional to 1,416, 2,122.92 and 765.84

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Solution

The fourth proportional to 1,416, 2,122.92 and 765.84 is: 1,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 2,122.92 = 765.84 : x
  2. Step 2: Convert to fraction form
    1,416/2,122.92 = 765.84/x
  3. Step 3: Cross multiply
    1,416x = 2,122.92 × 765.84
  4. Step 4: Simplify right side
    1,416x = 1,625,817.05
  5. Step 5: Solve for x
    x = 1,625,817.05/1,416
  6. Step 6: Final answer
    x = 1,148.18

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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.