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Finding the Fourth Proportional to 1,129.40, 1,690.90 and 1,014.20

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Solution

The fourth proportional to 1,129.40, 1,690.90 and 1,014.20 is: 1,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.40 : 1,690.90 = 1,014.20 : x
  2. Step 2: Convert to fraction form
    1,129.40/1,690.90 = 1,014.20/x
  3. Step 3: Cross multiply
    1,129.40x = 1,690.90 × 1,014.20
  4. Step 4: Simplify right side
    1,129.40x = 1,714,910.78
  5. Step 5: Solve for x
    x = 1,714,910.78/1,129.40
  6. Step 6: Final answer
    x = 1,518.43

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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.