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Finding the Fourth Proportional to 717.49, 981.62 and 714.42

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Solution

The fourth proportional to 717.49, 981.62 and 714.42 is: 977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.49 : 981.62 = 714.42 : x
  2. Step 2: Convert to fraction form
    717.49/981.62 = 714.42/x
  3. Step 3: Cross multiply
    717.49x = 981.62 × 714.42
  4. Step 4: Simplify right side
    717.49x = 701,288.07
  5. Step 5: Solve for x
    x = 701,288.07/717.49
  6. Step 6: Final answer
    x = 977.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.