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Finding the Fourth Proportional to 714.34, 1,071.74 and 252.10

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Solution

The fourth proportional to 714.34, 1,071.74 and 252.10 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 1,071.74 = 252.10 : x
  2. Step 2: Convert to fraction form
    714.34/1,071.74 = 252.10/x
  3. Step 3: Cross multiply
    714.34x = 1,071.74 × 252.10
  4. Step 4: Simplify right side
    714.34x = 270,185.65
  5. Step 5: Solve for x
    x = 270,185.65/714.34
  6. Step 6: Final answer
    x = 378.23

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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.