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Finding the Fourth Proportional to 529.99, 794.12 and 509.74

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Solution

The fourth proportional to 529.99, 794.12 and 509.74 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.99 : 794.12 = 509.74 : x
  2. Step 2: Convert to fraction form
    529.99/794.12 = 509.74/x
  3. Step 3: Cross multiply
    529.99x = 794.12 × 509.74
  4. Step 4: Simplify right side
    529.99x = 404,797.53
  5. Step 5: Solve for x
    x = 404,797.53/529.99
  6. Step 6: Final answer
    x = 763.78

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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.