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Finding the Fourth Proportional to 1,291.69, 1,938.33 and 511.56

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Solution

The fourth proportional to 1,291.69, 1,938.33 and 511.56 is: 767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.69 : 1,938.33 = 511.56 : x
  2. Step 2: Convert to fraction form
    1,291.69/1,938.33 = 511.56/x
  3. Step 3: Cross multiply
    1,291.69x = 1,938.33 × 511.56
  4. Step 4: Simplify right side
    1,291.69x = 991,572.09
  5. Step 5: Solve for x
    x = 991,572.09/1,291.69
  6. Step 6: Final answer
    x = 767.65

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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.