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Finding the Fourth Proportional to 758.64, 1,138.56 and 325.86

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Solution

The fourth proportional to 758.64, 1,138.56 and 325.86 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.64 : 1,138.56 = 325.86 : x
  2. Step 2: Convert to fraction form
    758.64/1,138.56 = 325.86/x
  3. Step 3: Cross multiply
    758.64x = 1,138.56 × 325.86
  4. Step 4: Simplify right side
    758.64x = 371,011.16
  5. Step 5: Solve for x
    x = 371,011.16/758.64
  6. Step 6: Final answer
    x = 489.05

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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.