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Finding the Fourth Proportional to 1,357.92, 1,874.07 and 834.30

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Solution

The fourth proportional to 1,357.92, 1,874.07 and 834.30 is: 1,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.92 : 1,874.07 = 834.30 : x
  2. Step 2: Convert to fraction form
    1,357.92/1,874.07 = 834.30/x
  3. Step 3: Cross multiply
    1,357.92x = 1,874.07 × 834.30
  4. Step 4: Simplify right side
    1,357.92x = 1,563,536.60
  5. Step 5: Solve for x
    x = 1,563,536.60/1,357.92
  6. Step 6: Final answer
    x = 1,151.42

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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.