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Finding the Fourth Proportional to 1,577.92, 2,366.87 and 482.24

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Solution

The fourth proportional to 1,577.92, 2,366.87 and 482.24 is: 723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.92 : 2,366.87 = 482.24 : x
  2. Step 2: Convert to fraction form
    1,577.92/2,366.87 = 482.24/x
  3. Step 3: Cross multiply
    1,577.92x = 2,366.87 × 482.24
  4. Step 4: Simplify right side
    1,577.92x = 1,141,396.98
  5. Step 5: Solve for x
    x = 1,141,396.98/1,577.92
  6. Step 6: Final answer
    x = 723.36

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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.