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Finding the Fourth Proportional to 1,776.39, 2,664.56 and 801.81

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Solution

The fourth proportional to 1,776.39, 2,664.56 and 801.81 is: 1,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.39 : 2,664.56 = 801.81 : x
  2. Step 2: Convert to fraction form
    1,776.39/2,664.56 = 801.81/x
  3. Step 3: Cross multiply
    1,776.39x = 2,664.56 × 801.81
  4. Step 4: Simplify right side
    1,776.39x = 2,136,466.84
  5. Step 5: Solve for x
    x = 2,136,466.84/1,776.39
  6. Step 6: Final answer
    x = 1,202.70

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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.