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Finding the Fourth Proportional to 880.74, 1,215.99 and 549.30

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Solution

The fourth proportional to 880.74, 1,215.99 and 549.30 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.74 : 1,215.99 = 549.30 : x
  2. Step 2: Convert to fraction form
    880.74/1,215.99 = 549.30/x
  3. Step 3: Cross multiply
    880.74x = 1,215.99 × 549.30
  4. Step 4: Simplify right side
    880.74x = 667,943.31
  5. Step 5: Solve for x
    x = 667,943.31/880.74
  6. Step 6: Final answer
    x = 758.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.