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Finding the Fourth Proportional to 837.66, 1,252.82 and 490.16

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Solution

The fourth proportional to 837.66, 1,252.82 and 490.16 is: 733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.66 : 1,252.82 = 490.16 : x
  2. Step 2: Convert to fraction form
    837.66/1,252.82 = 490.16/x
  3. Step 3: Cross multiply
    837.66x = 1,252.82 × 490.16
  4. Step 4: Simplify right side
    837.66x = 614,082.25
  5. Step 5: Solve for x
    x = 614,082.25/837.66
  6. Step 6: Final answer
    x = 733.09

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1.5x scale

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.