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Finding the Fourth Proportional to 801.66, 1,200.78 and 646.74

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Solution

The fourth proportional to 801.66, 1,200.78 and 646.74 is: 968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.66 : 1,200.78 = 646.74 : x
  2. Step 2: Convert to fraction form
    801.66/1,200.78 = 646.74/x
  3. Step 3: Cross multiply
    801.66x = 1,200.78 × 646.74
  4. Step 4: Simplify right side
    801.66x = 776,592.46
  5. Step 5: Solve for x
    x = 776,592.46/801.66
  6. Step 6: Final answer
    x = 968.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.