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Finding the Fourth Proportional to 758.52, 1,137.82 and 434.20

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Solution

The fourth proportional to 758.52, 1,137.82 and 434.20 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,137.82 = 434.20 : x
  2. Step 2: Convert to fraction form
    758.52/1,137.82 = 434.20/x
  3. Step 3: Cross multiply
    758.52x = 1,137.82 × 434.20
  4. Step 4: Simplify right side
    758.52x = 494,041.44
  5. Step 5: Solve for x
    x = 494,041.44/758.52
  6. Step 6: Final answer
    x = 651.32

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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.