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Finding the Fourth Proportional to 1,119.87, 1,681.33 and 772.34

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Solution

The fourth proportional to 1,119.87, 1,681.33 and 772.34 is: 1,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.87 : 1,681.33 = 772.34 : x
  2. Step 2: Convert to fraction form
    1,119.87/1,681.33 = 772.34/x
  3. Step 3: Cross multiply
    1,119.87x = 1,681.33 × 772.34
  4. Step 4: Simplify right side
    1,119.87x = 1,298,560.68
  5. Step 5: Solve for x
    x = 1,298,560.68/1,119.87
  6. Step 6: Final answer
    x = 1,159.56

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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.