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Finding the Fourth Proportional to 712.41, 1,063.43 and 654.63

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Solution

The fourth proportional to 712.41, 1,063.43 and 654.63 is: 977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 1,063.43 = 654.63 : x
  2. Step 2: Convert to fraction form
    712.41/1,063.43 = 654.63/x
  3. Step 3: Cross multiply
    712.41x = 1,063.43 × 654.63
  4. Step 4: Simplify right side
    712.41x = 696,149.91
  5. Step 5: Solve for x
    x = 696,149.91/712.41
  6. Step 6: Final answer
    x = 977.18

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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.