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Finding the Fourth Proportional to 1,292.12, 1,939.02 and 522.44

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Solution

The fourth proportional to 1,292.12, 1,939.02 and 522.44 is: 784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.12 : 1,939.02 = 522.44 : x
  2. Step 2: Convert to fraction form
    1,292.12/1,939.02 = 522.44/x
  3. Step 3: Cross multiply
    1,292.12x = 1,939.02 × 522.44
  4. Step 4: Simplify right side
    1,292.12x = 1,013,021.61
  5. Step 5: Solve for x
    x = 1,013,021.61/1,292.12
  6. Step 6: Final answer
    x = 784.00

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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.