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Finding the Fourth Proportional to 1,230.99, 1,846.52 and 306.51

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Solution

The fourth proportional to 1,230.99, 1,846.52 and 306.51 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.99 : 1,846.52 = 306.51 : x
  2. Step 2: Convert to fraction form
    1,230.99/1,846.52 = 306.51/x
  3. Step 3: Cross multiply
    1,230.99x = 1,846.52 × 306.51
  4. Step 4: Simplify right side
    1,230.99x = 565,976.85
  5. Step 5: Solve for x
    x = 565,976.85/1,230.99
  6. Step 6: Final answer
    x = 459.77

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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.