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Finding the Fourth Proportional to 1,390.39, 2,084.66 and 833.84

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Solution

The fourth proportional to 1,390.39, 2,084.66 and 833.84 is: 1,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.39 : 2,084.66 = 833.84 : x
  2. Step 2: Convert to fraction form
    1,390.39/2,084.66 = 833.84/x
  3. Step 3: Cross multiply
    1,390.39x = 2,084.66 × 833.84
  4. Step 4: Simplify right side
    1,390.39x = 1,738,269.25
  5. Step 5: Solve for x
    x = 1,738,269.25/1,390.39
  6. Step 6: Final answer
    x = 1,250.20

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1.5x scale

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.