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Finding the Fourth Proportional to 1,203.51, 1,805.97 and 554.22

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Solution

The fourth proportional to 1,203.51, 1,805.97 and 554.22 is: 831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.51 : 1,805.97 = 554.22 : x
  2. Step 2: Convert to fraction form
    1,203.51/1,805.97 = 554.22/x
  3. Step 3: Cross multiply
    1,203.51x = 1,805.97 × 554.22
  4. Step 4: Simplify right side
    1,203.51x = 1,000,904.69
  5. Step 5: Solve for x
    x = 1,000,904.69/1,203.51
  6. Step 6: Final answer
    x = 831.65

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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.