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Finding the Fourth Proportional to 549.12, 823.82 and 509.91

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Solution

The fourth proportional to 549.12, 823.82 and 509.91 is: 765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 823.82 = 509.91 : x
  2. Step 2: Convert to fraction form
    549.12/823.82 = 509.91/x
  3. Step 3: Cross multiply
    549.12x = 823.82 × 509.91
  4. Step 4: Simplify right side
    549.12x = 420,074.06
  5. Step 5: Solve for x
    x = 420,074.06/549.12
  6. Step 6: Final answer
    x = 765.00

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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.