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Finding the Fourth Proportional to 933.48, 1,288.26 and 777.96

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Solution

The fourth proportional to 933.48, 1,288.26 and 777.96 is: 1,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.48 : 1,288.26 = 777.96 : x
  2. Step 2: Convert to fraction form
    933.48/1,288.26 = 777.96/x
  3. Step 3: Cross multiply
    933.48x = 1,288.26 × 777.96
  4. Step 4: Simplify right side
    933.48x = 1,002,214.75
  5. Step 5: Solve for x
    x = 1,002,214.75/933.48
  6. Step 6: Final answer
    x = 1,073.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.