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Finding the Fourth Proportional to 1,777.62, 2,666.77 and 544.81

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Solution

The fourth proportional to 1,777.62, 2,666.77 and 544.81 is: 817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.62 : 2,666.77 = 544.81 : x
  2. Step 2: Convert to fraction form
    1,777.62/2,666.77 = 544.81/x
  3. Step 3: Cross multiply
    1,777.62x = 2,666.77 × 544.81
  4. Step 4: Simplify right side
    1,777.62x = 1,452,894.25
  5. Step 5: Solve for x
    x = 1,452,894.25/1,777.62
  6. Step 6: Final answer
    x = 817.33

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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.