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Finding the Fourth Proportional to 753.18, 1,129.77 and 233.17

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Solution

The fourth proportional to 753.18, 1,129.77 and 233.17 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.18 : 1,129.77 = 233.17 : x
  2. Step 2: Convert to fraction form
    753.18/1,129.77 = 233.17/x
  3. Step 3: Cross multiply
    753.18x = 1,129.77 × 233.17
  4. Step 4: Simplify right side
    753.18x = 263,425.65
  5. Step 5: Solve for x
    x = 263,425.65/753.18
  6. Step 6: Final answer
    x = 349.75

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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.