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Finding the Fourth Proportional to 750.92, 1,126.56 and 288.77

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Solution

The fourth proportional to 750.92, 1,126.56 and 288.77 is: 433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.92 : 1,126.56 = 288.77 : x
  2. Step 2: Convert to fraction form
    750.92/1,126.56 = 288.77/x
  3. Step 3: Cross multiply
    750.92x = 1,126.56 × 288.77
  4. Step 4: Simplify right side
    750.92x = 325,310.56
  5. Step 5: Solve for x
    x = 325,310.56/750.92
  6. Step 6: Final answer
    x = 433.22

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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.