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Finding the Fourth Proportional to 764.13, 1,146.20 and 611.95

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Solution

The fourth proportional to 764.13, 1,146.20 and 611.95 is: 917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.13 : 1,146.20 = 611.95 : x
  2. Step 2: Convert to fraction form
    764.13/1,146.20 = 611.95/x
  3. Step 3: Cross multiply
    764.13x = 1,146.20 × 611.95
  4. Step 4: Simplify right side
    764.13x = 701,417.09
  5. Step 5: Solve for x
    x = 701,417.09/764.13
  6. Step 6: Final answer
    x = 917.93

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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.