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Finding the Fourth Proportional to 714.32, 1,071.65 and 252.14

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Solution

The fourth proportional to 714.32, 1,071.65 and 252.14 is: 378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.32 : 1,071.65 = 252.14 : x
  2. Step 2: Convert to fraction form
    714.32/1,071.65 = 252.14/x
  3. Step 3: Cross multiply
    714.32x = 1,071.65 × 252.14
  4. Step 4: Simplify right side
    714.32x = 270,199.21
  5. Step 5: Solve for x
    x = 270,199.21/714.32
  6. Step 6: Final answer
    x = 378.26

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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.