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Finding the Fourth Proportional to 1,204.08, 1,806.44 and 473.48

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Solution

The fourth proportional to 1,204.08, 1,806.44 and 473.48 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.08 : 1,806.44 = 473.48 : x
  2. Step 2: Convert to fraction form
    1,204.08/1,806.44 = 473.48/x
  3. Step 3: Cross multiply
    1,204.08x = 1,806.44 × 473.48
  4. Step 4: Simplify right side
    1,204.08x = 855,313.21
  5. Step 5: Solve for x
    x = 855,313.21/1,204.08
  6. Step 6: Final answer
    x = 710.35

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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.