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Finding the Fourth Proportional to 1,209.05, 1,667.86 and 913.81

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Solution

The fourth proportional to 1,209.05, 1,667.86 and 913.81 is: 1,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.05 : 1,667.86 = 913.81 : x
  2. Step 2: Convert to fraction form
    1,209.05/1,667.86 = 913.81/x
  3. Step 3: Cross multiply
    1,209.05x = 1,667.86 × 913.81
  4. Step 4: Simplify right side
    1,209.05x = 1,524,094.24
  5. Step 5: Solve for x
    x = 1,524,094.24/1,209.05
  6. Step 6: Final answer
    x = 1,260.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.