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Finding the Fourth Proportional to 1,072.98, 1,606.23 and 609.93

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Solution

The fourth proportional to 1,072.98, 1,606.23 and 609.93 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.98 : 1,606.23 = 609.93 : x
  2. Step 2: Convert to fraction form
    1,072.98/1,606.23 = 609.93/x
  3. Step 3: Cross multiply
    1,072.98x = 1,606.23 × 609.93
  4. Step 4: Simplify right side
    1,072.98x = 979,687.86
  5. Step 5: Solve for x
    x = 979,687.86/1,072.98
  6. Step 6: Final answer
    x = 913.05

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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.