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Finding the Fourth Proportional to 712.83, 1,069.82 and 630.81

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Solution

The fourth proportional to 712.83, 1,069.82 and 630.81 is: 946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 1,069.82 = 630.81 : x
  2. Step 2: Convert to fraction form
    712.83/1,069.82 = 630.81/x
  3. Step 3: Cross multiply
    712.83x = 1,069.82 × 630.81
  4. Step 4: Simplify right side
    712.83x = 674,850.00
  5. Step 5: Solve for x
    x = 674,850.00/712.83
  6. Step 6: Final answer
    x = 946.72

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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.