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Finding the Fourth Proportional to 1,599.30, 2,206.85 and 891.04

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Solution

The fourth proportional to 1,599.30, 2,206.85 and 891.04 is: 1,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.30 : 2,206.85 = 891.04 : x
  2. Step 2: Convert to fraction form
    1,599.30/2,206.85 = 891.04/x
  3. Step 3: Cross multiply
    1,599.30x = 2,206.85 × 891.04
  4. Step 4: Simplify right side
    1,599.30x = 1,966,380.59
  5. Step 5: Solve for x
    x = 1,966,380.59/1,599.30
  6. Step 6: Final answer
    x = 1,229.53

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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.