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Finding the Fourth Proportional to 1,577.24, 2,365.38 and 551

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Solution

The fourth proportional to 1,577.24, 2,365.38 and 551 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.24 : 2,365.38 = 551 : x
  2. Step 2: Convert to fraction form
    1,577.24/2,365.38 = 551/x
  3. Step 3: Cross multiply
    1,577.24x = 2,365.38 × 551
  4. Step 4: Simplify right side
    1,577.24x = 1,303,324.38
  5. Step 5: Solve for x
    x = 1,303,324.38/1,577.24
  6. Step 6: Final answer
    x = 826.33

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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.