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Finding the Fourth Proportional to 751.85, 1,126.06 and 434.85

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Solution

The fourth proportional to 751.85, 1,126.06 and 434.85 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.85 : 1,126.06 = 434.85 : x
  2. Step 2: Convert to fraction form
    751.85/1,126.06 = 434.85/x
  3. Step 3: Cross multiply
    751.85x = 1,126.06 × 434.85
  4. Step 4: Simplify right side
    751.85x = 489,661.88
  5. Step 5: Solve for x
    x = 489,661.88/751.85
  6. Step 6: Final answer
    x = 651.28

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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.