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Finding the Fourth Proportional to 1,282.43, 1,923.84 and 623.70

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Solution

The fourth proportional to 1,282.43, 1,923.84 and 623.70 is: 935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.43 : 1,923.84 = 623.70 : x
  2. Step 2: Convert to fraction form
    1,282.43/1,923.84 = 623.70/x
  3. Step 3: Cross multiply
    1,282.43x = 1,923.84 × 623.70
  4. Step 4: Simplify right side
    1,282.43x = 1,199,899.01
  5. Step 5: Solve for x
    x = 1,199,899.01/1,282.43
  6. Step 6: Final answer
    x = 935.65

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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.