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Finding the Fourth Proportional to 1,456.42, 2,183.37 and 590.17

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Solution

The fourth proportional to 1,456.42, 2,183.37 and 590.17 is: 884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.42 : 2,183.37 = 590.17 : x
  2. Step 2: Convert to fraction form
    1,456.42/2,183.37 = 590.17/x
  3. Step 3: Cross multiply
    1,456.42x = 2,183.37 × 590.17
  4. Step 4: Simplify right side
    1,456.42x = 1,288,559.47
  5. Step 5: Solve for x
    x = 1,288,559.47/1,456.42
  6. Step 6: Final answer
    x = 884.74

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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.