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Finding the Fourth Proportional to 1,577.49, 2,366.24 and 423.24

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Solution

The fourth proportional to 1,577.49, 2,366.24 and 423.24 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.49 : 2,366.24 = 423.24 : x
  2. Step 2: Convert to fraction form
    1,577.49/2,366.24 = 423.24/x
  3. Step 3: Cross multiply
    1,577.49x = 2,366.24 × 423.24
  4. Step 4: Simplify right side
    1,577.49x = 1,001,485.30
  5. Step 5: Solve for x
    x = 1,001,485.30/1,577.49
  6. Step 6: Final answer
    x = 634.86

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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.