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Finding the Fourth Proportional to 1,469.70, 2,206.35 and 812.10

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Solution

The fourth proportional to 1,469.70, 2,206.35 and 812.10 is: 1,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.70 : 2,206.35 = 812.10 : x
  2. Step 2: Convert to fraction form
    1,469.70/2,206.35 = 812.10/x
  3. Step 3: Cross multiply
    1,469.70x = 2,206.35 × 812.10
  4. Step 4: Simplify right side
    1,469.70x = 1,791,776.84
  5. Step 5: Solve for x
    x = 1,791,776.84/1,469.70
  6. Step 6: Final answer
    x = 1,219.14

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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.