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Finding the Fourth Proportional to 991.41, 1,487.46 and 464.78

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Solution

The fourth proportional to 991.41, 1,487.46 and 464.78 is: 697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.41 : 1,487.46 = 464.78 : x
  2. Step 2: Convert to fraction form
    991.41/1,487.46 = 464.78/x
  3. Step 3: Cross multiply
    991.41x = 1,487.46 × 464.78
  4. Step 4: Simplify right side
    991.41x = 691,345.38
  5. Step 5: Solve for x
    x = 691,345.38/991.41
  6. Step 6: Final answer
    x = 697.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.