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Finding the Fourth Proportional to 727.84, 1,097.71 and 714.88

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Solution

The fourth proportional to 727.84, 1,097.71 and 714.88 is: 1,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.84 : 1,097.71 = 714.88 : x
  2. Step 2: Convert to fraction form
    727.84/1,097.71 = 714.88/x
  3. Step 3: Cross multiply
    727.84x = 1,097.71 × 714.88
  4. Step 4: Simplify right side
    727.84x = 784,730.92
  5. Step 5: Solve for x
    x = 784,730.92/727.84
  6. Step 6: Final answer
    x = 1,078.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.