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Finding the Fourth Proportional to 936.03, 1,410.39 and 777.27

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Solution

The fourth proportional to 936.03, 1,410.39 and 777.27 is: 1,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.03 : 1,410.39 = 777.27 : x
  2. Step 2: Convert to fraction form
    936.03/1,410.39 = 777.27/x
  3. Step 3: Cross multiply
    936.03x = 1,410.39 × 777.27
  4. Step 4: Simplify right side
    936.03x = 1,096,253.84
  5. Step 5: Solve for x
    x = 1,096,253.84/936.03
  6. Step 6: Final answer
    x = 1,171.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.