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Finding the Fourth Proportional to 1,079.99, 1,619.99 and 430.73

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Solution

The fourth proportional to 1,079.99, 1,619.99 and 430.73 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.99 : 1,619.99 = 430.73 : x
  2. Step 2: Convert to fraction form
    1,079.99/1,619.99 = 430.73/x
  3. Step 3: Cross multiply
    1,079.99x = 1,619.99 × 430.73
  4. Step 4: Simplify right side
    1,079.99x = 697,778.29
  5. Step 5: Solve for x
    x = 697,778.29/1,079.99
  6. Step 6: Final answer
    x = 646.10

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Why These Related Problems?

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