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Finding the Fourth Proportional to 1,133.73, 1,701.18 and 484.29

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Solution

The fourth proportional to 1,133.73, 1,701.18 and 484.29 is: 726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.73 : 1,701.18 = 484.29 : x
  2. Step 2: Convert to fraction form
    1,133.73/1,701.18 = 484.29/x
  3. Step 3: Cross multiply
    1,133.73x = 1,701.18 × 484.29
  4. Step 4: Simplify right side
    1,133.73x = 823,864.46
  5. Step 5: Solve for x
    x = 823,864.46/1,133.73
  6. Step 6: Final answer
    x = 726.68

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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.