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Finding the Fourth Proportional to 1,009.09, 1,513.63 and 278.70

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Solution

The fourth proportional to 1,009.09, 1,513.63 and 278.70 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.09 : 1,513.63 = 278.70 : x
  2. Step 2: Convert to fraction form
    1,009.09/1,513.63 = 278.70/x
  3. Step 3: Cross multiply
    1,009.09x = 1,513.63 × 278.70
  4. Step 4: Simplify right side
    1,009.09x = 421,848.68
  5. Step 5: Solve for x
    x = 421,848.68/1,009.09
  6. Step 6: Final answer
    x = 418.05

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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.