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Finding the Fourth Proportional to 1,206.71, 1,809.42 and 556.88

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Solution

The fourth proportional to 1,206.71, 1,809.42 and 556.88 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.71 : 1,809.42 = 556.88 : x
  2. Step 2: Convert to fraction form
    1,206.71/1,809.42 = 556.88/x
  3. Step 3: Cross multiply
    1,206.71x = 1,809.42 × 556.88
  4. Step 4: Simplify right side
    1,206.71x = 1,007,629.81
  5. Step 5: Solve for x
    x = 1,007,629.81/1,206.71
  6. Step 6: Final answer
    x = 835.02

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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.