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Finding the Fourth Proportional to 993.44, 1,490.88 and 561.44

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Solution

The fourth proportional to 993.44, 1,490.88 and 561.44 is: 842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.44 : 1,490.88 = 561.44 : x
  2. Step 2: Convert to fraction form
    993.44/1,490.88 = 561.44/x
  3. Step 3: Cross multiply
    993.44x = 1,490.88 × 561.44
  4. Step 4: Simplify right side
    993.44x = 837,039.67
  5. Step 5: Solve for x
    x = 837,039.67/993.44
  6. Step 6: Final answer
    x = 842.57

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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.