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Finding the Fourth Proportional to 714.60, 1,071.54 and 269.73

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Solution

The fourth proportional to 714.60, 1,071.54 and 269.73 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 1,071.54 = 269.73 : x
  2. Step 2: Convert to fraction form
    714.60/1,071.54 = 269.73/x
  3. Step 3: Cross multiply
    714.60x = 1,071.54 × 269.73
  4. Step 4: Simplify right side
    714.60x = 289,026.48
  5. Step 5: Solve for x
    x = 289,026.48/714.60
  6. Step 6: Final answer
    x = 404.46

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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.