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Finding the Fourth Proportional to 758.14, 1,137.02 and 538.12

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Solution

The fourth proportional to 758.14, 1,137.02 and 538.12 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.14 : 1,137.02 = 538.12 : x
  2. Step 2: Convert to fraction form
    758.14/1,137.02 = 538.12/x
  3. Step 3: Cross multiply
    758.14x = 1,137.02 × 538.12
  4. Step 4: Simplify right side
    758.14x = 611,847.67
  5. Step 5: Solve for x
    x = 611,847.67/758.14
  6. Step 6: Final answer
    x = 807.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.