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Finding the Fourth Proportional to 1,074.70, 1,612.14 and 305.20

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Solution

The fourth proportional to 1,074.70, 1,612.14 and 305.20 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.70 : 1,612.14 = 305.20 : x
  2. Step 2: Convert to fraction form
    1,074.70/1,612.14 = 305.20/x
  3. Step 3: Cross multiply
    1,074.70x = 1,612.14 × 305.20
  4. Step 4: Simplify right side
    1,074.70x = 492,025.13
  5. Step 5: Solve for x
    x = 492,025.13/1,074.70
  6. Step 6: Final answer
    x = 457.83

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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.