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Finding the Fourth Proportional to 1,042.82, 1,564.83 and 495.26

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Solution

The fourth proportional to 1,042.82, 1,564.83 and 495.26 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.82 : 1,564.83 = 495.26 : x
  2. Step 2: Convert to fraction form
    1,042.82/1,564.83 = 495.26/x
  3. Step 3: Cross multiply
    1,042.82x = 1,564.83 × 495.26
  4. Step 4: Simplify right side
    1,042.82x = 774,989.88
  5. Step 5: Solve for x
    x = 774,989.88/1,042.82
  6. Step 6: Final answer
    x = 743.17

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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.