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Finding the Fourth Proportional to 534.99, 798.11 and 520.10

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Solution

The fourth proportional to 534.99, 798.11 and 520.10 is: 775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 798.11 = 520.10 : x
  2. Step 2: Convert to fraction form
    534.99/798.11 = 520.10/x
  3. Step 3: Cross multiply
    534.99x = 798.11 × 520.10
  4. Step 4: Simplify right side
    534.99x = 415,101.32
  5. Step 5: Solve for x
    x = 415,101.32/534.99
  6. Step 6: Final answer
    x = 775.91

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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.