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Finding the Fourth Proportional to 1,577.72, 2,365.22 and 604.50

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Solution

The fourth proportional to 1,577.72, 2,365.22 and 604.50 is: 906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.72 : 2,365.22 = 604.50 : x
  2. Step 2: Convert to fraction form
    1,577.72/2,365.22 = 604.50/x
  3. Step 3: Cross multiply
    1,577.72x = 2,365.22 × 604.50
  4. Step 4: Simplify right side
    1,577.72x = 1,429,775.49
  5. Step 5: Solve for x
    x = 1,429,775.49/1,577.72
  6. Step 6: Final answer
    x = 906.23

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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.