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Finding the Fourth Proportional to 1,577.22, 2,365.83 and 550.98

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Solution

The fourth proportional to 1,577.22, 2,365.83 and 550.98 is: 826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.22 : 2,365.83 = 550.98 : x
  2. Step 2: Convert to fraction form
    1,577.22/2,365.83 = 550.98/x
  3. Step 3: Cross multiply
    1,577.22x = 2,365.83 × 550.98
  4. Step 4: Simplify right side
    1,577.22x = 1,303,525.01
  5. Step 5: Solve for x
    x = 1,303,525.01/1,577.22
  6. Step 6: Final answer
    x = 826.47

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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.