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Finding the Fourth Proportional to 814.72, 1,216.12 and 717.52

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Solution

The fourth proportional to 814.72, 1,216.12 and 717.52 is: 1,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,216.12 = 717.52 : x
  2. Step 2: Convert to fraction form
    814.72/1,216.12 = 717.52/x
  3. Step 3: Cross multiply
    814.72x = 1,216.12 × 717.52
  4. Step 4: Simplify right side
    814.72x = 872,590.42
  5. Step 5: Solve for x
    x = 872,590.42/814.72
  6. Step 6: Final answer
    x = 1,071.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.