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Finding the Fourth Proportional to 840.80, 1,160.11 and 541.51

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Solution

The fourth proportional to 840.80, 1,160.11 and 541.51 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.80 : 1,160.11 = 541.51 : x
  2. Step 2: Convert to fraction form
    840.80/1,160.11 = 541.51/x
  3. Step 3: Cross multiply
    840.80x = 1,160.11 × 541.51
  4. Step 4: Simplify right side
    840.80x = 628,211.17
  5. Step 5: Solve for x
    x = 628,211.17/840.80
  6. Step 6: Final answer
    x = 747.16

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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.