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Finding the Fourth Proportional to 1,207.68, 1,810.35 and 769.47

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Solution

The fourth proportional to 1,207.68, 1,810.35 and 769.47 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.68 : 1,810.35 = 769.47 : x
  2. Step 2: Convert to fraction form
    1,207.68/1,810.35 = 769.47/x
  3. Step 3: Cross multiply
    1,207.68x = 1,810.35 × 769.47
  4. Step 4: Simplify right side
    1,207.68x = 1,393,003.23
  5. Step 5: Solve for x
    x = 1,393,003.23/1,207.68
  6. Step 6: Final answer
    x = 1,153.46

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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.