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Finding the Fourth Proportional to 750.86, 1,126.30 and 263.96

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Solution

The fourth proportional to 750.86, 1,126.30 and 263.96 is: 395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,126.30 = 263.96 : x
  2. Step 2: Convert to fraction form
    750.86/1,126.30 = 263.96/x
  3. Step 3: Cross multiply
    750.86x = 1,126.30 × 263.96
  4. Step 4: Simplify right side
    750.86x = 297,298.15
  5. Step 5: Solve for x
    x = 297,298.15/750.86
  6. Step 6: Final answer
    x = 395.94

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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.