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Finding the Fourth Proportional to 1,318.01, 1,977.17 and 393.62

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Solution

The fourth proportional to 1,318.01, 1,977.17 and 393.62 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.01 : 1,977.17 = 393.62 : x
  2. Step 2: Convert to fraction form
    1,318.01/1,977.17 = 393.62/x
  3. Step 3: Cross multiply
    1,318.01x = 1,977.17 × 393.62
  4. Step 4: Simplify right side
    1,318.01x = 778,241.80
  5. Step 5: Solve for x
    x = 778,241.80/1,318.01
  6. Step 6: Final answer
    x = 590.47

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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.