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Finding the Fourth Proportional to 1,230.80, 1,846.40 and 409.46

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Solution

The fourth proportional to 1,230.80, 1,846.40 and 409.46 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.80 : 1,846.40 = 409.46 : x
  2. Step 2: Convert to fraction form
    1,230.80/1,846.40 = 409.46/x
  3. Step 3: Cross multiply
    1,230.80x = 1,846.40 × 409.46
  4. Step 4: Simplify right side
    1,230.80x = 756,015.66
  5. Step 5: Solve for x
    x = 756,015.66/1,230.80
  6. Step 6: Final answer
    x = 614.25

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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.