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Finding the Fourth Proportional to 1,270.80, 1,906.65 and 783.28

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Solution

The fourth proportional to 1,270.80, 1,906.65 and 783.28 is: 1,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.80 : 1,906.65 = 783.28 : x
  2. Step 2: Convert to fraction form
    1,270.80/1,906.65 = 783.28/x
  3. Step 3: Cross multiply
    1,270.80x = 1,906.65 × 783.28
  4. Step 4: Simplify right side
    1,270.80x = 1,493,440.81
  5. Step 5: Solve for x
    x = 1,493,440.81/1,270.80
  6. Step 6: Final answer
    x = 1,175.20

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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.