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Finding the Fourth Proportional to 896.32, 1,341.60 and 766.08

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Solution

The fourth proportional to 896.32, 1,341.60 and 766.08 is: 1,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.32 : 1,341.60 = 766.08 : x
  2. Step 2: Convert to fraction form
    896.32/1,341.60 = 766.08/x
  3. Step 3: Cross multiply
    896.32x = 1,341.60 × 766.08
  4. Step 4: Simplify right side
    896.32x = 1,027,772.93
  5. Step 5: Solve for x
    x = 1,027,772.93/896.32
  6. Step 6: Final answer
    x = 1,146.66

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Why These Related Problems?

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