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Finding the Fourth Proportional to 896.34, 1,237.02 and 542.31

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Solution

The fourth proportional to 896.34, 1,237.02 and 542.31 is: 748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,237.02 = 542.31 : x
  2. Step 2: Convert to fraction form
    896.34/1,237.02 = 542.31/x
  3. Step 3: Cross multiply
    896.34x = 1,237.02 × 542.31
  4. Step 4: Simplify right side
    896.34x = 670,848.32
  5. Step 5: Solve for x
    x = 670,848.32/896.34
  6. Step 6: Final answer
    x = 748.43

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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.