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Finding the Fourth Proportional to 801.07, 1,202.35 and 493.52

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Solution

The fourth proportional to 801.07, 1,202.35 and 493.52 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.07 : 1,202.35 = 493.52 : x
  2. Step 2: Convert to fraction form
    801.07/1,202.35 = 493.52/x
  3. Step 3: Cross multiply
    801.07x = 1,202.35 × 493.52
  4. Step 4: Simplify right side
    801.07x = 593,387.39
  5. Step 5: Solve for x
    x = 593,387.39/801.07
  6. Step 6: Final answer
    x = 740.75

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