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Finding the Fourth Proportional to 1,206.64, 1,812.12 and 770.32

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Solution

The fourth proportional to 1,206.64, 1,812.12 and 770.32 is: 1,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.64 : 1,812.12 = 770.32 : x
  2. Step 2: Convert to fraction form
    1,206.64/1,812.12 = 770.32/x
  3. Step 3: Cross multiply
    1,206.64x = 1,812.12 × 770.32
  4. Step 4: Simplify right side
    1,206.64x = 1,395,912.28
  5. Step 5: Solve for x
    x = 1,395,912.28/1,206.64
  6. Step 6: Final answer
    x = 1,156.86

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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.