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Finding the Fourth Proportional to 816.99, 1,225.17 and 296.90

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Solution

The fourth proportional to 816.99, 1,225.17 and 296.90 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.99 : 1,225.17 = 296.90 : x
  2. Step 2: Convert to fraction form
    816.99/1,225.17 = 296.90/x
  3. Step 3: Cross multiply
    816.99x = 1,225.17 × 296.90
  4. Step 4: Simplify right side
    816.99x = 363,746.85
  5. Step 5: Solve for x
    x = 363,746.85/816.99
  6. Step 6: Final answer
    x = 445.23

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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.