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Finding the Fourth Proportional to 1,009.42, 1,513.96 and 278.80

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Solution

The fourth proportional to 1,009.42, 1,513.96 and 278.80 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.42 : 1,513.96 = 278.80 : x
  2. Step 2: Convert to fraction form
    1,009.42/1,513.96 = 278.80/x
  3. Step 3: Cross multiply
    1,009.42x = 1,513.96 × 278.80
  4. Step 4: Simplify right side
    1,009.42x = 422,087.57
  5. Step 5: Solve for x
    x = 422,087.57/1,009.42
  6. Step 6: Final answer
    x = 418.15

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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.