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Finding the Fourth Proportional to 751.49, 1,035.65 and 541.31

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Solution

The fourth proportional to 751.49, 1,035.65 and 541.31 is: 745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.49 : 1,035.65 = 541.31 : x
  2. Step 2: Convert to fraction form
    751.49/1,035.65 = 541.31/x
  3. Step 3: Cross multiply
    751.49x = 1,035.65 × 541.31
  4. Step 4: Simplify right side
    751.49x = 560,603.88
  5. Step 5: Solve for x
    x = 560,603.88/751.49
  6. Step 6: Final answer
    x = 745.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.