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Finding the Fourth Proportional to 767.53, 1,150.08 and 401.95

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Solution

The fourth proportional to 767.53, 1,150.08 and 401.95 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.53 : 1,150.08 = 401.95 : x
  2. Step 2: Convert to fraction form
    767.53/1,150.08 = 401.95/x
  3. Step 3: Cross multiply
    767.53x = 1,150.08 × 401.95
  4. Step 4: Simplify right side
    767.53x = 462,274.66
  5. Step 5: Solve for x
    x = 462,274.66/767.53
  6. Step 6: Final answer
    x = 602.29

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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.