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Finding the Fourth Proportional to 1,119.64, 1,680.56 and 830.20

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Solution

The fourth proportional to 1,119.64, 1,680.56 and 830.20 is: 1,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.64 : 1,680.56 = 830.20 : x
  2. Step 2: Convert to fraction form
    1,119.64/1,680.56 = 830.20/x
  3. Step 3: Cross multiply
    1,119.64x = 1,680.56 × 830.20
  4. Step 4: Simplify right side
    1,119.64x = 1,395,200.91
  5. Step 5: Solve for x
    x = 1,395,200.91/1,119.64
  6. Step 6: Final answer
    x = 1,246.12

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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.