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Finding the Fourth Proportional to 1,598.90, 2,205.97 and 900.14

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Solution

The fourth proportional to 1,598.90, 2,205.97 and 900.14 is: 1,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.90 : 2,205.97 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,598.90/2,205.97 = 900.14/x
  3. Step 3: Cross multiply
    1,598.90x = 2,205.97 × 900.14
  4. Step 4: Simplify right side
    1,598.90x = 1,985,668.56
  5. Step 5: Solve for x
    x = 1,985,668.56/1,598.90
  6. Step 6: Final answer
    x = 1,241.90

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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.