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Finding the Fourth Proportional to 880.85, 1,215.65 and 488.00

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Solution

The fourth proportional to 880.85, 1,215.65 and 488.00 is: 673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.85 : 1,215.65 = 488.00 : x
  2. Step 2: Convert to fraction form
    880.85/1,215.65 = 488.00/x
  3. Step 3: Cross multiply
    880.85x = 1,215.65 × 488.00
  4. Step 4: Simplify right side
    880.85x = 593,228.68
  5. Step 5: Solve for x
    x = 593,228.68/880.85
  6. Step 6: Final answer
    x = 673.48

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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.