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Finding the Fourth Proportional to 712.79, 1,069.23 and 342.77

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Solution

The fourth proportional to 712.79, 1,069.23 and 342.77 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.79 : 1,069.23 = 342.77 : x
  2. Step 2: Convert to fraction form
    712.79/1,069.23 = 342.77/x
  3. Step 3: Cross multiply
    712.79x = 1,069.23 × 342.77
  4. Step 4: Simplify right side
    712.79x = 366,499.97
  5. Step 5: Solve for x
    x = 366,499.97/712.79
  6. Step 6: Final answer
    x = 514.18

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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.