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Finding the Fourth Proportional to 1,284.70, 1,926.73 and 360.28

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Solution

The fourth proportional to 1,284.70, 1,926.73 and 360.28 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.70 : 1,926.73 = 360.28 : x
  2. Step 2: Convert to fraction form
    1,284.70/1,926.73 = 360.28/x
  3. Step 3: Cross multiply
    1,284.70x = 1,926.73 × 360.28
  4. Step 4: Simplify right side
    1,284.70x = 694,162.28
  5. Step 5: Solve for x
    x = 694,162.28/1,284.70
  6. Step 6: Final answer
    x = 540.33

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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.