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Finding the Fourth Proportional to 712.85, 1,069.76 and 536.78

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Solution

The fourth proportional to 712.85, 1,069.76 and 536.78 is: 805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 1,069.76 = 536.78 : x
  2. Step 2: Convert to fraction form
    712.85/1,069.76 = 536.78/x
  3. Step 3: Cross multiply
    712.85x = 1,069.76 × 536.78
  4. Step 4: Simplify right side
    712.85x = 574,228.78
  5. Step 5: Solve for x
    x = 574,228.78/712.85
  6. Step 6: Final answer
    x = 805.53

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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.