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Finding the Fourth Proportional to 1,898.02, 2,847.02 and 599.49

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Solution

The fourth proportional to 1,898.02, 2,847.02 and 599.49 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.02 : 2,847.02 = 599.49 : x
  2. Step 2: Convert to fraction form
    1,898.02/2,847.02 = 599.49/x
  3. Step 3: Cross multiply
    1,898.02x = 2,847.02 × 599.49
  4. Step 4: Simplify right side
    1,898.02x = 1,706,760.02
  5. Step 5: Solve for x
    x = 1,706,760.02/1,898.02
  6. Step 6: Final answer
    x = 899.23

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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.