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Finding the Fourth Proportional to 940.82, 1,298.24 and 547.86

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Solution

The fourth proportional to 940.82, 1,298.24 and 547.86 is: 755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,298.24 = 547.86 : x
  2. Step 2: Convert to fraction form
    940.82/1,298.24 = 547.86/x
  3. Step 3: Cross multiply
    940.82x = 1,298.24 × 547.86
  4. Step 4: Simplify right side
    940.82x = 711,253.77
  5. Step 5: Solve for x
    x = 711,253.77/940.82
  6. Step 6: Final answer
    x = 755.99

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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.