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Finding the Fourth Proportional to 1,171.16, 1,756.56 and 391.18

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Solution

The fourth proportional to 1,171.16, 1,756.56 and 391.18 is: 586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.16 : 1,756.56 = 391.18 : x
  2. Step 2: Convert to fraction form
    1,171.16/1,756.56 = 391.18/x
  3. Step 3: Cross multiply
    1,171.16x = 1,756.56 × 391.18
  4. Step 4: Simplify right side
    1,171.16x = 687,131.14
  5. Step 5: Solve for x
    x = 687,131.14/1,171.16
  6. Step 6: Final answer
    x = 586.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.