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Finding the Fourth Proportional to 712.18, 1,068.47 and 301.38

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Solution

The fourth proportional to 712.18, 1,068.47 and 301.38 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.18 : 1,068.47 = 301.38 : x
  2. Step 2: Convert to fraction form
    712.18/1,068.47 = 301.38/x
  3. Step 3: Cross multiply
    712.18x = 1,068.47 × 301.38
  4. Step 4: Simplify right side
    712.18x = 322,011.11
  5. Step 5: Solve for x
    x = 322,011.11/712.18
  6. Step 6: Final answer
    x = 452.15

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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.