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Finding the Fourth Proportional to 1,019.82, 1,530.45 and 609.42

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Solution

The fourth proportional to 1,019.82, 1,530.45 and 609.42 is: 914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.82 : 1,530.45 = 609.42 : x
  2. Step 2: Convert to fraction form
    1,019.82/1,530.45 = 609.42/x
  3. Step 3: Cross multiply
    1,019.82x = 1,530.45 × 609.42
  4. Step 4: Simplify right side
    1,019.82x = 932,686.84
  5. Step 5: Solve for x
    x = 932,686.84/1,019.82
  6. Step 6: Final answer
    x = 914.56

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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.