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Finding the Fourth Proportional to 712.47, 982.76 and 491.04

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Solution

The fourth proportional to 712.47, 982.76 and 491.04 is: 677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.47 : 982.76 = 491.04 : x
  2. Step 2: Convert to fraction form
    712.47/982.76 = 491.04/x
  3. Step 3: Cross multiply
    712.47x = 982.76 × 491.04
  4. Step 4: Simplify right side
    712.47x = 482,574.47
  5. Step 5: Solve for x
    x = 482,574.47/712.47
  6. Step 6: Final answer
    x = 677.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.