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Finding the Fourth Proportional to 983.33, 1,474.99 and 740.94

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Solution

The fourth proportional to 983.33, 1,474.99 and 740.94 is: 1,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.33 : 1,474.99 = 740.94 : x
  2. Step 2: Convert to fraction form
    983.33/1,474.99 = 740.94/x
  3. Step 3: Cross multiply
    983.33x = 1,474.99 × 740.94
  4. Step 4: Simplify right side
    983.33x = 1,092,879.09
  5. Step 5: Solve for x
    x = 1,092,879.09/983.33
  6. Step 6: Final answer
    x = 1,111.41

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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.