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Finding the Fourth Proportional to 1,213.50, 1,674.03 and 765.17

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Solution

The fourth proportional to 1,213.50, 1,674.03 and 765.17 is: 1,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.50 : 1,674.03 = 765.17 : x
  2. Step 2: Convert to fraction form
    1,213.50/1,674.03 = 765.17/x
  3. Step 3: Cross multiply
    1,213.50x = 1,674.03 × 765.17
  4. Step 4: Simplify right side
    1,213.50x = 1,280,909.16
  5. Step 5: Solve for x
    x = 1,280,909.16/1,213.50
  6. Step 6: Final answer
    x = 1,055.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.