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Finding the Fourth Proportional to 1,009.14, 1,513.81 and 278.72

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Solution

The fourth proportional to 1,009.14, 1,513.81 and 278.72 is: 418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,513.81 = 278.72 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,513.81 = 278.72/x
  3. Step 3: Cross multiply
    1,009.14x = 1,513.81 × 278.72
  4. Step 4: Simplify right side
    1,009.14x = 421,929.12
  5. Step 5: Solve for x
    x = 421,929.12/1,009.14
  6. Step 6: Final answer
    x = 418.11

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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.