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Finding the Fourth Proportional to 874.59, 1,305.48 and 770.79

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Solution

The fourth proportional to 874.59, 1,305.48 and 770.79 is: 1,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.59 : 1,305.48 = 770.79 : x
  2. Step 2: Convert to fraction form
    874.59/1,305.48 = 770.79/x
  3. Step 3: Cross multiply
    874.59x = 1,305.48 × 770.79
  4. Step 4: Simplify right side
    874.59x = 1,006,254.71
  5. Step 5: Solve for x
    x = 1,006,254.71/874.59
  6. Step 6: Final answer
    x = 1,150.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.