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Finding the Fourth Proportional to 1,451.84, 2,003.64 and 830.84

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Solution

The fourth proportional to 1,451.84, 2,003.64 and 830.84 is: 1,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.84 : 2,003.64 = 830.84 : x
  2. Step 2: Convert to fraction form
    1,451.84/2,003.64 = 830.84/x
  3. Step 3: Cross multiply
    1,451.84x = 2,003.64 × 830.84
  4. Step 4: Simplify right side
    1,451.84x = 1,664,704.26
  5. Step 5: Solve for x
    x = 1,664,704.26/1,451.84
  6. Step 6: Final answer
    x = 1,146.62

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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.