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Finding the Fourth Proportional to 536.06, 797.03 and 514.19

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Solution

The fourth proportional to 536.06, 797.03 and 514.19 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.06 : 797.03 = 514.19 : x
  2. Step 2: Convert to fraction form
    536.06/797.03 = 514.19/x
  3. Step 3: Cross multiply
    536.06x = 797.03 × 514.19
  4. Step 4: Simplify right side
    536.06x = 409,818.30
  5. Step 5: Solve for x
    x = 409,818.30/536.06
  6. Step 6: Final answer
    x = 764.51

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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.