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Finding the Fourth Proportional to 783.18, 1,174.64 and 235.49

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Solution

The fourth proportional to 783.18, 1,174.64 and 235.49 is: 353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.18 : 1,174.64 = 235.49 : x
  2. Step 2: Convert to fraction form
    783.18/1,174.64 = 235.49/x
  3. Step 3: Cross multiply
    783.18x = 1,174.64 × 235.49
  4. Step 4: Simplify right side
    783.18x = 276,608.92
  5. Step 5: Solve for x
    x = 276,608.92/783.18
  6. Step 6: Final answer
    x = 353.19

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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.