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Finding the Fourth Proportional to 1,037.73, 1,556.54 and 421.27

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Solution

The fourth proportional to 1,037.73, 1,556.54 and 421.27 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.73 : 1,556.54 = 421.27 : x
  2. Step 2: Convert to fraction form
    1,037.73/1,556.54 = 421.27/x
  3. Step 3: Cross multiply
    1,037.73x = 1,556.54 × 421.27
  4. Step 4: Simplify right side
    1,037.73x = 655,721.50
  5. Step 5: Solve for x
    x = 655,721.50/1,037.73
  6. Step 6: Final answer
    x = 631.88

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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.