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Finding the Fourth Proportional to 1,232.98, 1,849.06 and 411.03

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Solution

The fourth proportional to 1,232.98, 1,849.06 and 411.03 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.98 : 1,849.06 = 411.03 : x
  2. Step 2: Convert to fraction form
    1,232.98/1,849.06 = 411.03/x
  3. Step 3: Cross multiply
    1,232.98x = 1,849.06 × 411.03
  4. Step 4: Simplify right side
    1,232.98x = 760,019.65
  5. Step 5: Solve for x
    x = 760,019.65/1,232.98
  6. Step 6: Final answer
    x = 616.41

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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.