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Finding the Fourth Proportional to 1,598.92, 2,206.50 and 900.52

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Solution

The fourth proportional to 1,598.92, 2,206.50 and 900.52 is: 1,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.92 : 2,206.50 = 900.52 : x
  2. Step 2: Convert to fraction form
    1,598.92/2,206.50 = 900.52/x
  3. Step 3: Cross multiply
    1,598.92x = 2,206.50 × 900.52
  4. Step 4: Simplify right side
    1,598.92x = 1,986,997.38
  5. Step 5: Solve for x
    x = 1,986,997.38/1,598.92
  6. Step 6: Final answer
    x = 1,242.71

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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.