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Finding the Fourth Proportional to 1,165.49, 1,747.78 and 515.77

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Solution

The fourth proportional to 1,165.49, 1,747.78 and 515.77 is: 773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.49 : 1,747.78 = 515.77 : x
  2. Step 2: Convert to fraction form
    1,165.49/1,747.78 = 515.77/x
  3. Step 3: Cross multiply
    1,165.49x = 1,747.78 × 515.77
  4. Step 4: Simplify right side
    1,165.49x = 901,452.49
  5. Step 5: Solve for x
    x = 901,452.49/1,165.49
  6. Step 6: Final answer
    x = 773.45

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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.