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Finding the Fourth Proportional to 824.64, 1,237.32 and 276.90

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Solution

The fourth proportional to 824.64, 1,237.32 and 276.90 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.64 : 1,237.32 = 276.90 : x
  2. Step 2: Convert to fraction form
    824.64/1,237.32 = 276.90/x
  3. Step 3: Cross multiply
    824.64x = 1,237.32 × 276.90
  4. Step 4: Simplify right side
    824.64x = 342,613.91
  5. Step 5: Solve for x
    x = 342,613.91/824.64
  6. Step 6: Final answer
    x = 415.47

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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.