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Finding the Fourth Proportional to 1,318.96, 1,974.14 and 972.16

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Solution

The fourth proportional to 1,318.96, 1,974.14 and 972.16 is: 1,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.96 : 1,974.14 = 972.16 : x
  2. Step 2: Convert to fraction form
    1,318.96/1,974.14 = 972.16/x
  3. Step 3: Cross multiply
    1,318.96x = 1,974.14 × 972.16
  4. Step 4: Simplify right side
    1,318.96x = 1,919,179.94
  5. Step 5: Solve for x
    x = 1,919,179.94/1,318.96
  6. Step 6: Final answer
    x = 1,455.07

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Why These Related Problems?

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