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Finding the Fourth Proportional to 1,042.86, 1,437.70 and 727.68

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Solution

The fourth proportional to 1,042.86, 1,437.70 and 727.68 is: 1,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.86 : 1,437.70 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,042.86/1,437.70 = 727.68/x
  3. Step 3: Cross multiply
    1,042.86x = 1,437.70 × 727.68
  4. Step 4: Simplify right side
    1,042.86x = 1,046,185.54
  5. Step 5: Solve for x
    x = 1,046,185.54/1,042.86
  6. Step 6: Final answer
    x = 1,003.19

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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.