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Finding the Fourth Proportional to 1,292.07, 1,938.90 and 511.94

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Solution

The fourth proportional to 1,292.07, 1,938.90 and 511.94 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.07 : 1,938.90 = 511.94 : x
  2. Step 2: Convert to fraction form
    1,292.07/1,938.90 = 511.94/x
  3. Step 3: Cross multiply
    1,292.07x = 1,938.90 × 511.94
  4. Step 4: Simplify right side
    1,292.07x = 992,588.21
  5. Step 5: Solve for x
    x = 992,588.21/1,292.07
  6. Step 6: Final answer
    x = 768.22

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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.