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Finding the Fourth Proportional to 964.33, 1,452.50 and 896.74

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Solution

The fourth proportional to 964.33, 1,452.50 and 896.74 is: 1,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.33 : 1,452.50 = 896.74 : x
  2. Step 2: Convert to fraction form
    964.33/1,452.50 = 896.74/x
  3. Step 3: Cross multiply
    964.33x = 1,452.50 × 896.74
  4. Step 4: Simplify right side
    964.33x = 1,302,514.85
  5. Step 5: Solve for x
    x = 1,302,514.85/964.33
  6. Step 6: Final answer
    x = 1,350.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.