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Finding the Fourth Proportional to 1,206.70, 1,809.36 and 476.08

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Solution

The fourth proportional to 1,206.70, 1,809.36 and 476.08 is: 713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.70 : 1,809.36 = 476.08 : x
  2. Step 2: Convert to fraction form
    1,206.70/1,809.36 = 476.08/x
  3. Step 3: Cross multiply
    1,206.70x = 1,809.36 × 476.08
  4. Step 4: Simplify right side
    1,206.70x = 861,400.11
  5. Step 5: Solve for x
    x = 861,400.11/1,206.70
  6. Step 6: Final answer
    x = 713.85

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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.