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Finding the Fourth Proportional to 712.58, 1,063.62 and 660.47

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Solution

The fourth proportional to 712.58, 1,063.62 and 660.47 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.58 : 1,063.62 = 660.47 : x
  2. Step 2: Convert to fraction form
    712.58/1,063.62 = 660.47/x
  3. Step 3: Cross multiply
    712.58x = 1,063.62 × 660.47
  4. Step 4: Simplify right side
    712.58x = 702,483.78
  5. Step 5: Solve for x
    x = 702,483.78/712.58
  6. Step 6: Final answer
    x = 985.84

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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.