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Finding the Fourth Proportional to 712.15, 983.01 and 491.83

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Solution

The fourth proportional to 712.15, 983.01 and 491.83 is: 678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 983.01 = 491.83 : x
  2. Step 2: Convert to fraction form
    712.15/983.01 = 491.83/x
  3. Step 3: Cross multiply
    712.15x = 983.01 × 491.83
  4. Step 4: Simplify right side
    712.15x = 483,473.81
  5. Step 5: Solve for x
    x = 483,473.81/712.15
  6. Step 6: Final answer
    x = 678.89

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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.