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Finding the Fourth Proportional to 751.59, 1,126.26 and 385.88

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Solution

The fourth proportional to 751.59, 1,126.26 and 385.88 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.59 : 1,126.26 = 385.88 : x
  2. Step 2: Convert to fraction form
    751.59/1,126.26 = 385.88/x
  3. Step 3: Cross multiply
    751.59x = 1,126.26 × 385.88
  4. Step 4: Simplify right side
    751.59x = 434,595.58
  5. Step 5: Solve for x
    x = 434,595.58/751.59
  6. Step 6: Final answer
    x = 578.23

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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.