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Finding the Fourth Proportional to 1,598.96, 2,206.59 and 900.33

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Solution

The fourth proportional to 1,598.96, 2,206.59 and 900.33 is: 1,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.96 : 2,206.59 = 900.33 : x
  2. Step 2: Convert to fraction form
    1,598.96/2,206.59 = 900.33/x
  3. Step 3: Cross multiply
    1,598.96x = 2,206.59 × 900.33
  4. Step 4: Simplify right side
    1,598.96x = 1,986,659.17
  5. Step 5: Solve for x
    x = 1,986,659.17/1,598.96
  6. Step 6: Final answer
    x = 1,242.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.