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Finding the Fourth Proportional to 1,268.29, 1,750.31 and 770.85

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Solution

The fourth proportional to 1,268.29, 1,750.31 and 770.85 is: 1,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.29 : 1,750.31 = 770.85 : x
  2. Step 2: Convert to fraction form
    1,268.29/1,750.31 = 770.85/x
  3. Step 3: Cross multiply
    1,268.29x = 1,750.31 × 770.85
  4. Step 4: Simplify right side
    1,268.29x = 1,349,225.50
  5. Step 5: Solve for x
    x = 1,349,225.50/1,268.29
  6. Step 6: Final answer
    x = 1,063.81

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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.