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Finding the Fourth Proportional to 1,234.37, 1,851.93 and 714.25

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Solution

The fourth proportional to 1,234.37, 1,851.93 and 714.25 is: 1,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.37 : 1,851.93 = 714.25 : x
  2. Step 2: Convert to fraction form
    1,234.37/1,851.93 = 714.25/x
  3. Step 3: Cross multiply
    1,234.37x = 1,851.93 × 714.25
  4. Step 4: Simplify right side
    1,234.37x = 1,322,743.32
  5. Step 5: Solve for x
    x = 1,322,743.32/1,234.37
  6. Step 6: Final answer
    x = 1,071.59

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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.