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Finding the Fourth Proportional to 783.11, 1,174.66 and 235.33

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Solution

The fourth proportional to 783.11, 1,174.66 and 235.33 is: 353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,174.66 = 235.33 : x
  2. Step 2: Convert to fraction form
    783.11/1,174.66 = 235.33/x
  3. Step 3: Cross multiply
    783.11x = 1,174.66 × 235.33
  4. Step 4: Simplify right side
    783.11x = 276,432.68
  5. Step 5: Solve for x
    x = 276,432.68/783.11
  6. Step 6: Final answer
    x = 353.00

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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.