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Finding the Fourth Proportional to 814.10, 1,219.91 and 549.57

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Solution

The fourth proportional to 814.10, 1,219.91 and 549.57 is: 823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.10 : 1,219.91 = 549.57 : x
  2. Step 2: Convert to fraction form
    814.10/1,219.91 = 549.57/x
  3. Step 3: Cross multiply
    814.10x = 1,219.91 × 549.57
  4. Step 4: Simplify right side
    814.10x = 670,423.19
  5. Step 5: Solve for x
    x = 670,423.19/814.10
  6. Step 6: Final answer
    x = 823.52

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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.