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Finding the Fourth Proportional to 1,606.22, 2,407.88 and 579.98

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Solution

The fourth proportional to 1,606.22, 2,407.88 and 579.98 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.22 : 2,407.88 = 579.98 : x
  2. Step 2: Convert to fraction form
    1,606.22/2,407.88 = 579.98/x
  3. Step 3: Cross multiply
    1,606.22x = 2,407.88 × 579.98
  4. Step 4: Simplify right side
    1,606.22x = 1,396,522.24
  5. Step 5: Solve for x
    x = 1,396,522.24/1,606.22
  6. Step 6: Final answer
    x = 869.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.