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Finding the Fourth Proportional to 750.86, 1,126.86 and 490.78

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Solution

The fourth proportional to 750.86, 1,126.86 and 490.78 is: 736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,126.86 = 490.78 : x
  2. Step 2: Convert to fraction form
    750.86/1,126.86 = 490.78/x
  3. Step 3: Cross multiply
    750.86x = 1,126.86 × 490.78
  4. Step 4: Simplify right side
    750.86x = 553,040.35
  5. Step 5: Solve for x
    x = 553,040.35/750.86
  6. Step 6: Final answer
    x = 736.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.