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Finding the Fourth Proportional to 912.10, 1,364.10 and 766.30

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Solution

The fourth proportional to 912.10, 1,364.10 and 766.30 is: 1,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.10 : 1,364.10 = 766.30 : x
  2. Step 2: Convert to fraction form
    912.10/1,364.10 = 766.30/x
  3. Step 3: Cross multiply
    912.10x = 1,364.10 × 766.30
  4. Step 4: Simplify right side
    912.10x = 1,045,309.83
  5. Step 5: Solve for x
    x = 1,045,309.83/912.10
  6. Step 6: Final answer
    x = 1,146.05

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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.