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Finding the Fourth Proportional to 758.47, 1,137.74 and 210.66

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Solution

The fourth proportional to 758.47, 1,137.74 and 210.66 is: 315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.47 : 1,137.74 = 210.66 : x
  2. Step 2: Convert to fraction form
    758.47/1,137.74 = 210.66/x
  3. Step 3: Cross multiply
    758.47x = 1,137.74 × 210.66
  4. Step 4: Simplify right side
    758.47x = 239,669.57
  5. Step 5: Solve for x
    x = 239,669.57/758.47
  6. Step 6: Final answer
    x = 315.99

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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.