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Finding the Fourth Proportional to 1,318.06, 1,974.37 and 588.15

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Solution

The fourth proportional to 1,318.06, 1,974.37 and 588.15 is: 881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.06 : 1,974.37 = 588.15 : x
  2. Step 2: Convert to fraction form
    1,318.06/1,974.37 = 588.15/x
  3. Step 3: Cross multiply
    1,318.06x = 1,974.37 × 588.15
  4. Step 4: Simplify right side
    1,318.06x = 1,161,225.72
  5. Step 5: Solve for x
    x = 1,161,225.72/1,318.06
  6. Step 6: Final answer
    x = 881.01

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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.