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Finding the Fourth Proportional to 1,050.47, 1,575.76 and 270.48

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Solution

The fourth proportional to 1,050.47, 1,575.76 and 270.48 is: 405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.47 : 1,575.76 = 270.48 : x
  2. Step 2: Convert to fraction form
    1,050.47/1,575.76 = 270.48/x
  3. Step 3: Cross multiply
    1,050.47x = 1,575.76 × 270.48
  4. Step 4: Simplify right side
    1,050.47x = 426,211.56
  5. Step 5: Solve for x
    x = 426,211.56/1,050.47
  6. Step 6: Final answer
    x = 405.73

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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.