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Finding the Fourth Proportional to 1,208.52, 1,667.52 and 766.53

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Solution

The fourth proportional to 1,208.52, 1,667.52 and 766.53 is: 1,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.52 : 1,667.52 = 766.53 : x
  2. Step 2: Convert to fraction form
    1,208.52/1,667.52 = 766.53/x
  3. Step 3: Cross multiply
    1,208.52x = 1,667.52 × 766.53
  4. Step 4: Simplify right side
    1,208.52x = 1,278,204.11
  5. Step 5: Solve for x
    x = 1,278,204.11/1,208.52
  6. Step 6: Final answer
    x = 1,057.66

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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.