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Finding the Fourth Proportional to 993.24, 1,487.86 and 473.74

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Solution

The fourth proportional to 993.24, 1,487.86 and 473.74 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,487.86 = 473.74 : x
  2. Step 2: Convert to fraction form
    993.24/1,487.86 = 473.74/x
  3. Step 3: Cross multiply
    993.24x = 1,487.86 × 473.74
  4. Step 4: Simplify right side
    993.24x = 704,858.80
  5. Step 5: Solve for x
    x = 704,858.80/993.24
  6. Step 6: Final answer
    x = 709.66

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