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Finding the Fourth Proportional to 1,199.25, 1,798.97 and 377.51

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Solution

The fourth proportional to 1,199.25, 1,798.97 and 377.51 is: 566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.25 : 1,798.97 = 377.51 : x
  2. Step 2: Convert to fraction form
    1,199.25/1,798.97 = 377.51/x
  3. Step 3: Cross multiply
    1,199.25x = 1,798.97 × 377.51
  4. Step 4: Simplify right side
    1,199.25x = 679,118.28
  5. Step 5: Solve for x
    x = 679,118.28/1,199.25
  6. Step 6: Final answer
    x = 566.29

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Double scale
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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.