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Finding the Fourth Proportional to 712.67, 1,068.16 and 322.22

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Solution

The fourth proportional to 712.67, 1,068.16 and 322.22 is: 482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.67 : 1,068.16 = 322.22 : x
  2. Step 2: Convert to fraction form
    712.67/1,068.16 = 322.22/x
  3. Step 3: Cross multiply
    712.67x = 1,068.16 × 322.22
  4. Step 4: Simplify right side
    712.67x = 344,182.52
  5. Step 5: Solve for x
    x = 344,182.52/712.67
  6. Step 6: Final answer
    x = 482.95

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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.