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Finding the Fourth Proportional to 526.77, 789.24 and 514.01

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Solution

The fourth proportional to 526.77, 789.24 and 514.01 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 789.24 = 514.01 : x
  2. Step 2: Convert to fraction form
    526.77/789.24 = 514.01/x
  3. Step 3: Cross multiply
    526.77x = 789.24 × 514.01
  4. Step 4: Simplify right side
    526.77x = 405,677.25
  5. Step 5: Solve for x
    x = 405,677.25/526.77
  6. Step 6: Final answer
    x = 770.12

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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.