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Finding the Fourth Proportional to 1,008.48, 1,512.71 and 278.07

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Solution

The fourth proportional to 1,008.48, 1,512.71 and 278.07 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.48 : 1,512.71 = 278.07 : x
  2. Step 2: Convert to fraction form
    1,008.48/1,512.71 = 278.07/x
  3. Step 3: Cross multiply
    1,008.48x = 1,512.71 × 278.07
  4. Step 4: Simplify right side
    1,008.48x = 420,633.25
  5. Step 5: Solve for x
    x = 420,633.25/1,008.48
  6. Step 6: Final answer
    x = 417.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.