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Finding the Fourth Proportional to 1,206.46, 1,809.24 and 556.75

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Solution

The fourth proportional to 1,206.46, 1,809.24 and 556.75 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.46 : 1,809.24 = 556.75 : x
  2. Step 2: Convert to fraction form
    1,206.46/1,809.24 = 556.75/x
  3. Step 3: Cross multiply
    1,206.46x = 1,809.24 × 556.75
  4. Step 4: Simplify right side
    1,206.46x = 1,007,294.37
  5. Step 5: Solve for x
    x = 1,007,294.37/1,206.46
  6. Step 6: Final answer
    x = 834.92

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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.