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Finding the Fourth Proportional to 1,284.20, 1,923.42 and 994.76

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Solution

The fourth proportional to 1,284.20, 1,923.42 and 994.76 is: 1,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.20 : 1,923.42 = 994.76 : x
  2. Step 2: Convert to fraction form
    1,284.20/1,923.42 = 994.76/x
  3. Step 3: Cross multiply
    1,284.20x = 1,923.42 × 994.76
  4. Step 4: Simplify right side
    1,284.20x = 1,913,341.28
  5. Step 5: Solve for x
    x = 1,913,341.28/1,284.20
  6. Step 6: Final answer
    x = 1,489.91

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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.