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Finding the Fourth Proportional to 840.35, 1,260.02 and 401.74

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Solution

The fourth proportional to 840.35, 1,260.02 and 401.74 is: 602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.35 : 1,260.02 = 401.74 : x
  2. Step 2: Convert to fraction form
    840.35/1,260.02 = 401.74/x
  3. Step 3: Cross multiply
    840.35x = 1,260.02 × 401.74
  4. Step 4: Simplify right side
    840.35x = 506,198.29
  5. Step 5: Solve for x
    x = 506,198.29/840.35
  6. Step 6: Final answer
    x = 602.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.