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Finding the Fourth Proportional to 1,204.25, 1,805.57 and 554.63

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Solution

The fourth proportional to 1,204.25, 1,805.57 and 554.63 is: 831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.25 : 1,805.57 = 554.63 : x
  2. Step 2: Convert to fraction form
    1,204.25/1,805.57 = 554.63/x
  3. Step 3: Cross multiply
    1,204.25x = 1,805.57 × 554.63
  4. Step 4: Simplify right side
    1,204.25x = 1,001,420.52
  5. Step 5: Solve for x
    x = 1,001,420.52/1,204.25
  6. Step 6: Final answer
    x = 831.57

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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.