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Finding the Fourth Proportional to 712.42, 1,069.01 and 540.16

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Solution

The fourth proportional to 712.42, 1,069.01 and 540.16 is: 810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 1,069.01 = 540.16 : x
  2. Step 2: Convert to fraction form
    712.42/1,069.01 = 540.16/x
  3. Step 3: Cross multiply
    712.42x = 1,069.01 × 540.16
  4. Step 4: Simplify right side
    712.42x = 577,436.44
  5. Step 5: Solve for x
    x = 577,436.44/712.42
  6. Step 6: Final answer
    x = 810.53

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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.