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Finding the Fourth Proportional to 1,272.96, 1,906.45 and 612.70

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Solution

The fourth proportional to 1,272.96, 1,906.45 and 612.70 is: 917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.96 : 1,906.45 = 612.70 : x
  2. Step 2: Convert to fraction form
    1,272.96/1,906.45 = 612.70/x
  3. Step 3: Cross multiply
    1,272.96x = 1,906.45 × 612.70
  4. Step 4: Simplify right side
    1,272.96x = 1,168,075.62
  5. Step 5: Solve for x
    x = 1,168,075.62/1,272.96
  6. Step 6: Final answer
    x = 917.61

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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.