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Finding the Fourth Proportional to 1,037.43, 1,556.16 and 421.02

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Solution

The fourth proportional to 1,037.43, 1,556.16 and 421.02 is: 631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.43 : 1,556.16 = 421.02 : x
  2. Step 2: Convert to fraction form
    1,037.43/1,556.16 = 421.02/x
  3. Step 3: Cross multiply
    1,037.43x = 1,556.16 × 421.02
  4. Step 4: Simplify right side
    1,037.43x = 655,174.48
  5. Step 5: Solve for x
    x = 655,174.48/1,037.43
  6. Step 6: Final answer
    x = 631.54

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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.