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Finding the Fourth Proportional to 1,272.15, 1,907.55 and 540.90

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Solution

The fourth proportional to 1,272.15, 1,907.55 and 540.90 is: 811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.15 : 1,907.55 = 540.90 : x
  2. Step 2: Convert to fraction form
    1,272.15/1,907.55 = 540.90/x
  3. Step 3: Cross multiply
    1,272.15x = 1,907.55 × 540.90
  4. Step 4: Simplify right side
    1,272.15x = 1,031,793.80
  5. Step 5: Solve for x
    x = 1,031,793.80/1,272.15
  6. Step 6: Final answer
    x = 811.06

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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.