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Finding the Fourth Proportional to 1,009.08, 1,513.71 and 278.66

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Solution

The fourth proportional to 1,009.08, 1,513.71 and 278.66 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.08 : 1,513.71 = 278.66 : x
  2. Step 2: Convert to fraction form
    1,009.08/1,513.71 = 278.66/x
  3. Step 3: Cross multiply
    1,009.08x = 1,513.71 × 278.66
  4. Step 4: Simplify right side
    1,009.08x = 421,814.21
  5. Step 5: Solve for x
    x = 421,814.21/1,009.08
  6. Step 6: Final answer
    x = 418.02

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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.