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Finding the Fourth Proportional to 712.93, 1,069.61 and 347.75

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Solution

The fourth proportional to 712.93, 1,069.61 and 347.75 is: 521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.93 : 1,069.61 = 347.75 : x
  2. Step 2: Convert to fraction form
    712.93/1,069.61 = 347.75/x
  3. Step 3: Cross multiply
    712.93x = 1,069.61 × 347.75
  4. Step 4: Simplify right side
    712.93x = 371,957.81
  5. Step 5: Solve for x
    x = 371,957.81/712.93
  6. Step 6: Final answer
    x = 521.73

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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.