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Finding the Fourth Proportional to 1,318.17, 1,977.14 and 393.73

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Solution

The fourth proportional to 1,318.17, 1,977.14 and 393.73 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.17 : 1,977.14 = 393.73 : x
  2. Step 2: Convert to fraction form
    1,318.17/1,977.14 = 393.73/x
  3. Step 3: Cross multiply
    1,318.17x = 1,977.14 × 393.73
  4. Step 4: Simplify right side
    1,318.17x = 778,455.37
  5. Step 5: Solve for x
    x = 778,455.37/1,318.17
  6. Step 6: Final answer
    x = 590.56

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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.