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Finding the Fourth Proportional to 758.58, 1,138.10 and 627.98

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Solution

The fourth proportional to 758.58, 1,138.10 and 627.98 is: 942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.58 : 1,138.10 = 627.98 : x
  2. Step 2: Convert to fraction form
    758.58/1,138.10 = 627.98/x
  3. Step 3: Cross multiply
    758.58x = 1,138.10 × 627.98
  4. Step 4: Simplify right side
    758.58x = 714,704.04
  5. Step 5: Solve for x
    x = 714,704.04/758.58
  6. Step 6: Final answer
    x = 942.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.