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Finding the Fourth Proportional to 1,652.69, 2,478.99 and 830.50

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Solution

The fourth proportional to 1,652.69, 2,478.99 and 830.50 is: 1,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.69 : 2,478.99 = 830.50 : x
  2. Step 2: Convert to fraction form
    1,652.69/2,478.99 = 830.50/x
  3. Step 3: Cross multiply
    1,652.69x = 2,478.99 × 830.50
  4. Step 4: Simplify right side
    1,652.69x = 2,058,801.20
  5. Step 5: Solve for x
    x = 2,058,801.20/1,652.69
  6. Step 6: Final answer
    x = 1,245.73

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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.