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Finding the Fourth Proportional to 1,456.34, 2,183.30 and 578.30

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Solution

The fourth proportional to 1,456.34, 2,183.30 and 578.30 is: 866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.34 : 2,183.30 = 578.30 : x
  2. Step 2: Convert to fraction form
    1,456.34/2,183.30 = 578.30/x
  3. Step 3: Cross multiply
    1,456.34x = 2,183.30 × 578.30
  4. Step 4: Simplify right side
    1,456.34x = 1,262,609.35
  5. Step 5: Solve for x
    x = 1,262,609.35/1,456.34
  6. Step 6: Final answer
    x = 866.97

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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.