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Finding the Fourth Proportional to 751.98, 1,128.14 and 445.80

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Solution

The fourth proportional to 751.98, 1,128.14 and 445.80 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.98 : 1,128.14 = 445.80 : x
  2. Step 2: Convert to fraction form
    751.98/1,128.14 = 445.80/x
  3. Step 3: Cross multiply
    751.98x = 1,128.14 × 445.80
  4. Step 4: Simplify right side
    751.98x = 502,924.81
  5. Step 5: Solve for x
    x = 502,924.81/751.98
  6. Step 6: Final answer
    x = 668.80

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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.