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Finding the Fourth Proportional to 683.88, 944.80 and 552.66

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Solution

The fourth proportional to 683.88, 944.80 and 552.66 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 944.80 = 552.66 : x
  2. Step 2: Convert to fraction form
    683.88/944.80 = 552.66/x
  3. Step 3: Cross multiply
    683.88x = 944.80 × 552.66
  4. Step 4: Simplify right side
    683.88x = 522,153.17
  5. Step 5: Solve for x
    x = 522,153.17/683.88
  6. Step 6: Final answer
    x = 763.52

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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.