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Finding the Fourth Proportional to 598.05, 897.56 and 551.01

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Solution

The fourth proportional to 598.05, 897.56 and 551.01 is: 826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 897.56 = 551.01 : x
  2. Step 2: Convert to fraction form
    598.05/897.56 = 551.01/x
  3. Step 3: Cross multiply
    598.05x = 897.56 × 551.01
  4. Step 4: Simplify right side
    598.05x = 494,561.78
  5. Step 5: Solve for x
    x = 494,561.78/598.05
  6. Step 6: Final answer
    x = 826.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.