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Finding the Fourth Proportional to 993.90, 1,491.35 and 751.91

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Solution

The fourth proportional to 993.90, 1,491.35 and 751.91 is: 1,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.90 : 1,491.35 = 751.91 : x
  2. Step 2: Convert to fraction form
    993.90/1,491.35 = 751.91/x
  3. Step 3: Cross multiply
    993.90x = 1,491.35 × 751.91
  4. Step 4: Simplify right side
    993.90x = 1,121,357.25
  5. Step 5: Solve for x
    x = 1,121,357.25/993.90
  6. Step 6: Final answer
    x = 1,128.25

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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.