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Finding the Fourth Proportional to 880.97, 1,214.71 and 714.66

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Solution

The fourth proportional to 880.97, 1,214.71 and 714.66 is: 985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.97 : 1,214.71 = 714.66 : x
  2. Step 2: Convert to fraction form
    880.97/1,214.71 = 714.66/x
  3. Step 3: Cross multiply
    880.97x = 1,214.71 × 714.66
  4. Step 4: Simplify right side
    880.97x = 868,104.65
  5. Step 5: Solve for x
    x = 868,104.65/880.97
  6. Step 6: Final answer
    x = 985.40

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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.