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Finding the Fourth Proportional to 758.04, 1,137.08 and 295.71

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Solution

The fourth proportional to 758.04, 1,137.08 and 295.71 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.04 : 1,137.08 = 295.71 : x
  2. Step 2: Convert to fraction form
    758.04/1,137.08 = 295.71/x
  3. Step 3: Cross multiply
    758.04x = 1,137.08 × 295.71
  4. Step 4: Simplify right side
    758.04x = 336,245.93
  5. Step 5: Solve for x
    x = 336,245.93/758.04
  6. Step 6: Final answer
    x = 443.57

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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.