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Finding the Fourth Proportional to 1,137.33, 1,706.09 and 513.02

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Solution

The fourth proportional to 1,137.33, 1,706.09 and 513.02 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.33 : 1,706.09 = 513.02 : x
  2. Step 2: Convert to fraction form
    1,137.33/1,706.09 = 513.02/x
  3. Step 3: Cross multiply
    1,137.33x = 1,706.09 × 513.02
  4. Step 4: Simplify right side
    1,137.33x = 875,247.20
  5. Step 5: Solve for x
    x = 875,247.20/1,137.33
  6. Step 6: Final answer
    x = 769.56

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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.