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Finding the Fourth Proportional to 883.98, 1,326.42 and 537.84

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Solution

The fourth proportional to 883.98, 1,326.42 and 537.84 is: 807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,326.42 = 537.84 : x
  2. Step 2: Convert to fraction form
    883.98/1,326.42 = 537.84/x
  3. Step 3: Cross multiply
    883.98x = 1,326.42 × 537.84
  4. Step 4: Simplify right side
    883.98x = 713,401.73
  5. Step 5: Solve for x
    x = 713,401.73/883.98
  6. Step 6: Final answer
    x = 807.03

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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.