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Finding the Fourth Proportional to 1,092.44, 1,507.79 and 714.83

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Solution

The fourth proportional to 1,092.44, 1,507.79 and 714.83 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.44 : 1,507.79 = 714.83 : x
  2. Step 2: Convert to fraction form
    1,092.44/1,507.79 = 714.83/x
  3. Step 3: Cross multiply
    1,092.44x = 1,507.79 × 714.83
  4. Step 4: Simplify right side
    1,092.44x = 1,077,813.53
  5. Step 5: Solve for x
    x = 1,077,813.53/1,092.44
  6. Step 6: Final answer
    x = 986.61

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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.