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Finding the Fourth Proportional to 717.84, 1,072.26 and 657.36

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Solution

The fourth proportional to 717.84, 1,072.26 and 657.36 is: 981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,072.26 = 657.36 : x
  2. Step 2: Convert to fraction form
    717.84/1,072.26 = 657.36/x
  3. Step 3: Cross multiply
    717.84x = 1,072.26 × 657.36
  4. Step 4: Simplify right side
    717.84x = 704,860.83
  5. Step 5: Solve for x
    x = 704,860.83/717.84
  6. Step 6: Final answer
    x = 981.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.