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Finding the Fourth Proportional to 840.98, 1,261.58 and 293.22

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Solution

The fourth proportional to 840.98, 1,261.58 and 293.22 is: 439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.98 : 1,261.58 = 293.22 : x
  2. Step 2: Convert to fraction form
    840.98/1,261.58 = 293.22/x
  3. Step 3: Cross multiply
    840.98x = 1,261.58 × 293.22
  4. Step 4: Simplify right side
    840.98x = 369,919.02
  5. Step 5: Solve for x
    x = 369,919.02/840.98
  6. Step 6: Final answer
    x = 439.87

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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.