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Finding the Fourth Proportional to 764.18, 1,146.20 and 374.03

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Solution

The fourth proportional to 764.18, 1,146.20 and 374.03 is: 561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.18 : 1,146.20 = 374.03 : x
  2. Step 2: Convert to fraction form
    764.18/1,146.20 = 374.03/x
  3. Step 3: Cross multiply
    764.18x = 1,146.20 × 374.03
  4. Step 4: Simplify right side
    764.18x = 428,705.58
  5. Step 5: Solve for x
    x = 428,705.58/764.18
  6. Step 6: Final answer
    x = 561.00

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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.