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Finding the Fourth Proportional to 896.81, 1,237.88 and 542.97

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Solution

The fourth proportional to 896.81, 1,237.88 and 542.97 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.81 : 1,237.88 = 542.97 : x
  2. Step 2: Convert to fraction form
    896.81/1,237.88 = 542.97/x
  3. Step 3: Cross multiply
    896.81x = 1,237.88 × 542.97
  4. Step 4: Simplify right side
    896.81x = 672,133.06
  5. Step 5: Solve for x
    x = 672,133.06/896.81
  6. Step 6: Final answer
    x = 749.48

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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.