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Finding the Fourth Proportional to 880.28, 1,214.79 and 548.71

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Solution

The fourth proportional to 880.28, 1,214.79 and 548.71 is: 757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.28 : 1,214.79 = 548.71 : x
  2. Step 2: Convert to fraction form
    880.28/1,214.79 = 548.71/x
  3. Step 3: Cross multiply
    880.28x = 1,214.79 × 548.71
  4. Step 4: Simplify right side
    880.28x = 666,561.00
  5. Step 5: Solve for x
    x = 666,561.00/880.28
  6. Step 6: Final answer
    x = 757.21

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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.