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Finding the Fourth Proportional to 1,079.68, 1,619.79 and 430.21

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Solution

The fourth proportional to 1,079.68, 1,619.79 and 430.21 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.68 : 1,619.79 = 430.21 : x
  2. Step 2: Convert to fraction form
    1,079.68/1,619.79 = 430.21/x
  3. Step 3: Cross multiply
    1,079.68x = 1,619.79 × 430.21
  4. Step 4: Simplify right side
    1,079.68x = 696,849.86
  5. Step 5: Solve for x
    x = 696,849.86/1,079.68
  6. Step 6: Final answer
    x = 645.42

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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.