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Finding the Fourth Proportional to 1,042.03, 1,438.46 and 649.28

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Solution

The fourth proportional to 1,042.03, 1,438.46 and 649.28 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.03 : 1,438.46 = 649.28 : x
  2. Step 2: Convert to fraction form
    1,042.03/1,438.46 = 649.28/x
  3. Step 3: Cross multiply
    1,042.03x = 1,438.46 × 649.28
  4. Step 4: Simplify right side
    1,042.03x = 933,966.09
  5. Step 5: Solve for x
    x = 933,966.09/1,042.03
  6. Step 6: Final answer
    x = 896.29

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