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Finding the Fourth Proportional to 758.27, 1,137.51 and 264.75

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Solution

The fourth proportional to 758.27, 1,137.51 and 264.75 is: 397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.27 : 1,137.51 = 264.75 : x
  2. Step 2: Convert to fraction form
    758.27/1,137.51 = 264.75/x
  3. Step 3: Cross multiply
    758.27x = 1,137.51 × 264.75
  4. Step 4: Simplify right side
    758.27x = 301,155.77
  5. Step 5: Solve for x
    x = 301,155.77/758.27
  6. Step 6: Final answer
    x = 397.16

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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.