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Finding the Fourth Proportional to 994.47, 1,372.47 and 574.86

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Solution

The fourth proportional to 994.47, 1,372.47 and 574.86 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.47 : 1,372.47 = 574.86 : x
  2. Step 2: Convert to fraction form
    994.47/1,372.47 = 574.86/x
  3. Step 3: Cross multiply
    994.47x = 1,372.47 × 574.86
  4. Step 4: Simplify right side
    994.47x = 788,978.10
  5. Step 5: Solve for x
    x = 788,978.10/994.47
  6. Step 6: Final answer
    x = 793.37

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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.