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Finding the Fourth Proportional to 840.80, 1,260.45 and 401.78

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Solution

The fourth proportional to 840.80, 1,260.45 and 401.78 is: 602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.80 : 1,260.45 = 401.78 : x
  2. Step 2: Convert to fraction form
    840.80/1,260.45 = 401.78/x
  3. Step 3: Cross multiply
    840.80x = 1,260.45 × 401.78
  4. Step 4: Simplify right side
    840.80x = 506,426.75
  5. Step 5: Solve for x
    x = 506,426.75/840.80
  6. Step 6: Final answer
    x = 602.31

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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.