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Finding the Fourth Proportional to 1,042.45, 1,438.59 and 649.48

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Solution

The fourth proportional to 1,042.45, 1,438.59 and 649.48 is: 896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.45 : 1,438.59 = 649.48 : x
  2. Step 2: Convert to fraction form
    1,042.45/1,438.59 = 649.48/x
  3. Step 3: Cross multiply
    1,042.45x = 1,438.59 × 649.48
  4. Step 4: Simplify right side
    1,042.45x = 934,327.44
  5. Step 5: Solve for x
    x = 934,327.44/1,042.45
  6. Step 6: Final answer
    x = 896.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.