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Finding the Fourth Proportional to 1,318.62, 1,977.57 and 393.93

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Solution

The fourth proportional to 1,318.62, 1,977.57 and 393.93 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.62 : 1,977.57 = 393.93 : x
  2. Step 2: Convert to fraction form
    1,318.62/1,977.57 = 393.93/x
  3. Step 3: Cross multiply
    1,318.62x = 1,977.57 × 393.93
  4. Step 4: Simplify right side
    1,318.62x = 779,024.15
  5. Step 5: Solve for x
    x = 779,024.15/1,318.62
  6. Step 6: Final answer
    x = 590.79

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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.