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Finding the Fourth Proportional to 880.61, 1,214.24 and 659.19

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Solution

The fourth proportional to 880.61, 1,214.24 and 659.19 is: 908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.61 : 1,214.24 = 659.19 : x
  2. Step 2: Convert to fraction form
    880.61/1,214.24 = 659.19/x
  3. Step 3: Cross multiply
    880.61x = 1,214.24 × 659.19
  4. Step 4: Simplify right side
    880.61x = 800,411.57
  5. Step 5: Solve for x
    x = 800,411.57/880.61
  6. Step 6: Final answer
    x = 908.93

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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.