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Finding the Fourth Proportional to 712.84, 1,063.27 and 647.22

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Solution

The fourth proportional to 712.84, 1,063.27 and 647.22 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 1,063.27 = 647.22 : x
  2. Step 2: Convert to fraction form
    712.84/1,063.27 = 647.22/x
  3. Step 3: Cross multiply
    712.84x = 1,063.27 × 647.22
  4. Step 4: Simplify right side
    712.84x = 688,169.61
  5. Step 5: Solve for x
    x = 688,169.61/712.84
  6. Step 6: Final answer
    x = 965.39

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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.