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Finding the Fourth Proportional to 758.52, 1,137.96 and 434.10

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Solution

The fourth proportional to 758.52, 1,137.96 and 434.10 is: 651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,137.96 = 434.10 : x
  2. Step 2: Convert to fraction form
    758.52/1,137.96 = 434.10/x
  3. Step 3: Cross multiply
    758.52x = 1,137.96 × 434.10
  4. Step 4: Simplify right side
    758.52x = 493,988.44
  5. Step 5: Solve for x
    x = 493,988.44/758.52
  6. Step 6: Final answer
    x = 651.25

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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.