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Finding the Fourth Proportional to 528.12, 790.86 and 514.34

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Solution

The fourth proportional to 528.12, 790.86 and 514.34 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.12 : 790.86 = 514.34 : x
  2. Step 2: Convert to fraction form
    528.12/790.86 = 514.34/x
  3. Step 3: Cross multiply
    528.12x = 790.86 × 514.34
  4. Step 4: Simplify right side
    528.12x = 406,770.93
  5. Step 5: Solve for x
    x = 406,770.93/528.12
  6. Step 6: Final answer
    x = 770.22

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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.