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Finding the Fourth Proportional to 1,306.77, 1,802.84 and 834.68

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Solution

The fourth proportional to 1,306.77, 1,802.84 and 834.68 is: 1,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.77 : 1,802.84 = 834.68 : x
  2. Step 2: Convert to fraction form
    1,306.77/1,802.84 = 834.68/x
  3. Step 3: Cross multiply
    1,306.77x = 1,802.84 × 834.68
  4. Step 4: Simplify right side
    1,306.77x = 1,504,790.32
  5. Step 5: Solve for x
    x = 1,504,790.32/1,306.77
  6. Step 6: Final answer
    x = 1,151.54

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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.