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Finding the Fourth Proportional to 712.33, 1,068.54 and 301.41

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Solution

The fourth proportional to 712.33, 1,068.54 and 301.41 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 1,068.54 = 301.41 : x
  2. Step 2: Convert to fraction form
    712.33/1,068.54 = 301.41/x
  3. Step 3: Cross multiply
    712.33x = 1,068.54 × 301.41
  4. Step 4: Simplify right side
    712.33x = 322,068.64
  5. Step 5: Solve for x
    x = 322,068.64/712.33
  6. Step 6: Final answer
    x = 452.13

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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.