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Finding the Fourth Proportional to 823.34, 1,135.98 and 787.46

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Solution

The fourth proportional to 823.34, 1,135.98 and 787.46 is: 1,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,135.98 = 787.46 : x
  2. Step 2: Convert to fraction form
    823.34/1,135.98 = 787.46/x
  3. Step 3: Cross multiply
    823.34x = 1,135.98 × 787.46
  4. Step 4: Simplify right side
    823.34x = 894,533.13
  5. Step 5: Solve for x
    x = 894,533.13/823.34
  6. Step 6: Final answer
    x = 1,086.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.