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Finding the Fourth Proportional to 1,270.80, 1,753.79 and 829.89

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Solution

The fourth proportional to 1,270.80, 1,753.79 and 829.89 is: 1,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.80 : 1,753.79 = 829.89 : x
  2. Step 2: Convert to fraction form
    1,270.80/1,753.79 = 829.89/x
  3. Step 3: Cross multiply
    1,270.80x = 1,753.79 × 829.89
  4. Step 4: Simplify right side
    1,270.80x = 1,455,448.63
  5. Step 5: Solve for x
    x = 1,455,448.63/1,270.80
  6. Step 6: Final answer
    x = 1,145.30

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Why These Related Problems?

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