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Finding the Fourth Proportional to 1,042.47, 1,438.64 and 644.05

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Solution

The fourth proportional to 1,042.47, 1,438.64 and 644.05 is: 888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,438.64 = 644.05 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,438.64 = 644.05/x
  3. Step 3: Cross multiply
    1,042.47x = 1,438.64 × 644.05
  4. Step 4: Simplify right side
    1,042.47x = 926,556.09
  5. Step 5: Solve for x
    x = 926,556.09/1,042.47
  6. Step 6: Final answer
    x = 888.81

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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.