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Finding the Fourth Proportional to 816.72, 1,225.09 and 296.74

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Solution

The fourth proportional to 816.72, 1,225.09 and 296.74 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,225.09 = 296.74 : x
  2. Step 2: Convert to fraction form
    816.72/1,225.09 = 296.74/x
  3. Step 3: Cross multiply
    816.72x = 1,225.09 × 296.74
  4. Step 4: Simplify right side
    816.72x = 363,529.40
  5. Step 5: Solve for x
    x = 363,529.40/816.72
  6. Step 6: Final answer
    x = 445.11

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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.