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Finding the Fourth Proportional to 723.73, 1,087.72 and 601.12

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Solution

The fourth proportional to 723.73, 1,087.72 and 601.12 is: 903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.73 : 1,087.72 = 601.12 : x
  2. Step 2: Convert to fraction form
    723.73/1,087.72 = 601.12/x
  3. Step 3: Cross multiply
    723.73x = 1,087.72 × 601.12
  4. Step 4: Simplify right side
    723.73x = 653,852.36
  5. Step 5: Solve for x
    x = 653,852.36/723.73
  6. Step 6: Final answer
    x = 903.45

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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.