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Finding the Fourth Proportional to 1,456.34, 2,183.85 and 468.98

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Solution

The fourth proportional to 1,456.34, 2,183.85 and 468.98 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.34 : 2,183.85 = 468.98 : x
  2. Step 2: Convert to fraction form
    1,456.34/2,183.85 = 468.98/x
  3. Step 3: Cross multiply
    1,456.34x = 2,183.85 × 468.98
  4. Step 4: Simplify right side
    1,456.34x = 1,024,181.97
  5. Step 5: Solve for x
    x = 1,024,181.97/1,456.34
  6. Step 6: Final answer
    x = 703.26

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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.