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Finding the Fourth Proportional to 880.40, 1,215.43 and 601.04

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Solution

The fourth proportional to 880.40, 1,215.43 and 601.04 is: 829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.40 : 1,215.43 = 601.04 : x
  2. Step 2: Convert to fraction form
    880.40/1,215.43 = 601.04/x
  3. Step 3: Cross multiply
    880.40x = 1,215.43 × 601.04
  4. Step 4: Simplify right side
    880.40x = 730,523.58
  5. Step 5: Solve for x
    x = 730,523.58/880.40
  6. Step 6: Final answer
    x = 829.76

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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.