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Finding the Fourth Proportional to 758.53, 1,137.78 and 210.70

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Solution

The fourth proportional to 758.53, 1,137.78 and 210.70 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.53 : 1,137.78 = 210.70 : x
  2. Step 2: Convert to fraction form
    758.53/1,137.78 = 210.70/x
  3. Step 3: Cross multiply
    758.53x = 1,137.78 × 210.70
  4. Step 4: Simplify right side
    758.53x = 239,730.25
  5. Step 5: Solve for x
    x = 239,730.25/758.53
  6. Step 6: Final answer
    x = 316.05

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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.