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Finding the Fourth Proportional to 1,277.19, 1,919.30 and 661.39

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Solution

The fourth proportional to 1,277.19, 1,919.30 and 661.39 is: 993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.19 : 1,919.30 = 661.39 : x
  2. Step 2: Convert to fraction form
    1,277.19/1,919.30 = 661.39/x
  3. Step 3: Cross multiply
    1,277.19x = 1,919.30 × 661.39
  4. Step 4: Simplify right side
    1,277.19x = 1,269,397.72
  5. Step 5: Solve for x
    x = 1,269,397.72/1,277.19
  6. Step 6: Final answer
    x = 993.90

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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.