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Finding the Fourth Proportional to 880.09, 1,214.67 and 548.53

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Solution

The fourth proportional to 880.09, 1,214.67 and 548.53 is: 757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,214.67 = 548.53 : x
  2. Step 2: Convert to fraction form
    880.09/1,214.67 = 548.53/x
  3. Step 3: Cross multiply
    880.09x = 1,214.67 × 548.53
  4. Step 4: Simplify right side
    880.09x = 666,282.94
  5. Step 5: Solve for x
    x = 666,282.94/880.09
  6. Step 6: Final answer
    x = 757.06

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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.