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Finding the Fourth Proportional to 613.77, 915.87 and 541.77

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Solution

The fourth proportional to 613.77, 915.87 and 541.77 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 915.87 = 541.77 : x
  2. Step 2: Convert to fraction form
    613.77/915.87 = 541.77/x
  3. Step 3: Cross multiply
    613.77x = 915.87 × 541.77
  4. Step 4: Simplify right side
    613.77x = 496,190.89
  5. Step 5: Solve for x
    x = 496,190.89/613.77
  6. Step 6: Final answer
    x = 808.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.