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Finding the Fourth Proportional to 1,577.36, 2,366.42 and 603.44

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Solution

The fourth proportional to 1,577.36, 2,366.42 and 603.44 is: 905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.36 : 2,366.42 = 603.44 : x
  2. Step 2: Convert to fraction form
    1,577.36/2,366.42 = 603.44/x
  3. Step 3: Cross multiply
    1,577.36x = 2,366.42 × 603.44
  4. Step 4: Simplify right side
    1,577.36x = 1,427,992.48
  5. Step 5: Solve for x
    x = 1,427,992.48/1,577.36
  6. Step 6: Final answer
    x = 905.31

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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.