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Finding the Fourth Proportional to 1,172.29, 1,757.85 and 392.02

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Solution

The fourth proportional to 1,172.29, 1,757.85 and 392.02 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.29 : 1,757.85 = 392.02 : x
  2. Step 2: Convert to fraction form
    1,172.29/1,757.85 = 392.02/x
  3. Step 3: Cross multiply
    1,172.29x = 1,757.85 × 392.02
  4. Step 4: Simplify right side
    1,172.29x = 689,112.36
  5. Step 5: Solve for x
    x = 689,112.36/1,172.29
  6. Step 6: Final answer
    x = 587.83

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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.