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Finding the Fourth Proportional to 1,254.22, 1,730.34 and 834.76

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Solution

The fourth proportional to 1,254.22, 1,730.34 and 834.76 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.22 : 1,730.34 = 834.76 : x
  2. Step 2: Convert to fraction form
    1,254.22/1,730.34 = 834.76/x
  3. Step 3: Cross multiply
    1,254.22x = 1,730.34 × 834.76
  4. Step 4: Simplify right side
    1,254.22x = 1,444,418.62
  5. Step 5: Solve for x
    x = 1,444,418.62/1,254.22
  6. Step 6: Final answer
    x = 1,151.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.