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Finding the Fourth Proportional to 1,008.94, 1,513.22 and 268.54

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Solution

The fourth proportional to 1,008.94, 1,513.22 and 268.54 is: 402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.94 : 1,513.22 = 268.54 : x
  2. Step 2: Convert to fraction form
    1,008.94/1,513.22 = 268.54/x
  3. Step 3: Cross multiply
    1,008.94x = 1,513.22 × 268.54
  4. Step 4: Simplify right side
    1,008.94x = 406,360.10
  5. Step 5: Solve for x
    x = 406,360.10/1,008.94
  6. Step 6: Final answer
    x = 402.76

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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.