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Finding the Fourth Proportional to 840.57, 1,259.01 and 823.95

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Solution

The fourth proportional to 840.57, 1,259.01 and 823.95 is: 1,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.57 : 1,259.01 = 823.95 : x
  2. Step 2: Convert to fraction form
    840.57/1,259.01 = 823.95/x
  3. Step 3: Cross multiply
    840.57x = 1,259.01 × 823.95
  4. Step 4: Simplify right side
    840.57x = 1,037,361.29
  5. Step 5: Solve for x
    x = 1,037,361.29/840.57
  6. Step 6: Final answer
    x = 1,234.12

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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.