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Finding the Fourth Proportional to 597.78, 891.81 and 541.89

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Solution

The fourth proportional to 597.78, 891.81 and 541.89 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 891.81 = 541.89 : x
  2. Step 2: Convert to fraction form
    597.78/891.81 = 541.89/x
  3. Step 3: Cross multiply
    597.78x = 891.81 × 541.89
  4. Step 4: Simplify right side
    597.78x = 483,262.92
  5. Step 5: Solve for x
    x = 483,262.92/597.78
  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.