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Finding the Fourth Proportional to 1,206.24, 1,809.28 and 556.64

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Solution

The fourth proportional to 1,206.24, 1,809.28 and 556.64 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.24 : 1,809.28 = 556.64 : x
  2. Step 2: Convert to fraction form
    1,206.24/1,809.28 = 556.64/x
  3. Step 3: Cross multiply
    1,206.24x = 1,809.28 × 556.64
  4. Step 4: Simplify right side
    1,206.24x = 1,007,117.62
  5. Step 5: Solve for x
    x = 1,007,117.62/1,206.24
  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.