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Finding the Fourth Proportional to 866.57, 1,293.08 and 774.50

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Solution

The fourth proportional to 866.57, 1,293.08 and 774.50 is: 1,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,293.08 = 774.50 : x
  2. Step 2: Convert to fraction form
    866.57/1,293.08 = 774.50/x
  3. Step 3: Cross multiply
    866.57x = 1,293.08 × 774.50
  4. Step 4: Simplify right side
    866.57x = 1,001,480.12
  5. Step 5: Solve for x
    x = 1,001,480.12/866.57
  6. Step 6: Final answer
    x = 1,155.69

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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.