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Finding the Fourth Proportional to 699.53, 965.81 and 541.89

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Solution

The fourth proportional to 699.53, 965.81 and 541.89 is: 748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.53 : 965.81 = 541.89 : x
  2. Step 2: Convert to fraction form
    699.53/965.81 = 541.89/x
  3. Step 3: Cross multiply
    699.53x = 965.81 × 541.89
  4. Step 4: Simplify right side
    699.53x = 523,362.78
  5. Step 5: Solve for x
    x = 523,362.78/699.53
  6. Step 6: Final answer
    x = 748.16

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Why These Related Problems?

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