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Finding the Fourth Proportional to 1,283.96, 1,924.38 and 667.33

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Solution

The fourth proportional to 1,283.96, 1,924.38 and 667.33 is: 1,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.96 : 1,924.38 = 667.33 : x
  2. Step 2: Convert to fraction form
    1,283.96/1,924.38 = 667.33/x
  3. Step 3: Cross multiply
    1,283.96x = 1,924.38 × 667.33
  4. Step 4: Simplify right side
    1,283.96x = 1,284,196.51
  5. Step 5: Solve for x
    x = 1,284,196.51/1,283.96
  6. Step 6: Final answer
    x = 1,000.18

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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.