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Finding the Fourth Proportional to 1,079.80, 1,619.10 and 429.80

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Solution

The fourth proportional to 1,079.80, 1,619.10 and 429.80 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.80 : 1,619.10 = 429.80 : x
  2. Step 2: Convert to fraction form
    1,079.80/1,619.10 = 429.80/x
  3. Step 3: Cross multiply
    1,079.80x = 1,619.10 × 429.80
  4. Step 4: Simplify right side
    1,079.80x = 695,889.18
  5. Step 5: Solve for x
    x = 695,889.18/1,079.80
  6. Step 6: Final answer
    x = 644.46

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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.