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Finding the Fourth Proportional to 714.83, 1,072.61 and 282.29

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Solution

The fourth proportional to 714.83, 1,072.61 and 282.29 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 1,072.61 = 282.29 : x
  2. Step 2: Convert to fraction form
    714.83/1,072.61 = 282.29/x
  3. Step 3: Cross multiply
    714.83x = 1,072.61 × 282.29
  4. Step 4: Simplify right side
    714.83x = 302,789.41
  5. Step 5: Solve for x
    x = 302,789.41/714.83
  6. Step 6: Final answer
    x = 423.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.