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Finding the Fourth Proportional to 1,203.94, 1,806.03 and 554.86

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Solution

The fourth proportional to 1,203.94, 1,806.03 and 554.86 is: 832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.94 : 1,806.03 = 554.86 : x
  2. Step 2: Convert to fraction form
    1,203.94/1,806.03 = 554.86/x
  3. Step 3: Cross multiply
    1,203.94x = 1,806.03 × 554.86
  4. Step 4: Simplify right side
    1,203.94x = 1,002,093.81
  5. Step 5: Solve for x
    x = 1,002,093.81/1,203.94
  6. Step 6: Final answer
    x = 832.35

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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.