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Finding the Fourth Proportional to 1,206.33, 1,809.54 and 415.68

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Solution

The fourth proportional to 1,206.33, 1,809.54 and 415.68 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.33 : 1,809.54 = 415.68 : x
  2. Step 2: Convert to fraction form
    1,206.33/1,809.54 = 415.68/x
  3. Step 3: Cross multiply
    1,206.33x = 1,809.54 × 415.68
  4. Step 4: Simplify right side
    1,206.33x = 752,187.51
  5. Step 5: Solve for x
    x = 752,187.51/1,206.33
  6. Step 6: Final answer
    x = 623.53

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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.