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Finding the Fourth Proportional to 1,079.71, 1,619.56 and 430.43

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Solution

The fourth proportional to 1,079.71, 1,619.56 and 430.43 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.71 : 1,619.56 = 430.43 : x
  2. Step 2: Convert to fraction form
    1,079.71/1,619.56 = 430.43/x
  3. Step 3: Cross multiply
    1,079.71x = 1,619.56 × 430.43
  4. Step 4: Simplify right side
    1,079.71x = 697,107.21
  5. Step 5: Solve for x
    x = 697,107.21/1,079.71
  6. Step 6: Final answer
    x = 645.64

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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.