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Finding the Fourth Proportional to 1,301.76, 1,796.14 and 777.60

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Solution

The fourth proportional to 1,301.76, 1,796.14 and 777.60 is: 1,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.76 : 1,796.14 = 777.60 : x
  2. Step 2: Convert to fraction form
    1,301.76/1,796.14 = 777.60/x
  3. Step 3: Cross multiply
    1,301.76x = 1,796.14 × 777.60
  4. Step 4: Simplify right side
    1,301.76x = 1,396,678.46
  5. Step 5: Solve for x
    x = 1,396,678.46/1,301.76
  6. Step 6: Final answer
    x = 1,072.92

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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.