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Finding the Fourth Proportional to 712.78, 1,068.46 and 302.02

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Solution

The fourth proportional to 712.78, 1,068.46 and 302.02 is: 452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.78 : 1,068.46 = 302.02 : x
  2. Step 2: Convert to fraction form
    712.78/1,068.46 = 302.02/x
  3. Step 3: Cross multiply
    712.78x = 1,068.46 × 302.02
  4. Step 4: Simplify right side
    712.78x = 322,696.29
  5. Step 5: Solve for x
    x = 322,696.29/712.78
  6. Step 6: Final answer
    x = 452.73

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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.