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Finding the Fourth Proportional to 598.14, 826.74 and 527.70

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Solution

The fourth proportional to 598.14, 826.74 and 527.70 is: 729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 826.74 = 527.70 : x
  2. Step 2: Convert to fraction form
    598.14/826.74 = 527.70/x
  3. Step 3: Cross multiply
    598.14x = 826.74 × 527.70
  4. Step 4: Simplify right side
    598.14x = 436,270.70
  5. Step 5: Solve for x
    x = 436,270.70/598.14
  6. Step 6: Final answer
    x = 729.38

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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.