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Finding the Fourth Proportional to 1,203.38, 1,805.67 and 554.02

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Solution

The fourth proportional to 1,203.38, 1,805.67 and 554.02 is: 831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.38 : 1,805.67 = 554.02 : x
  2. Step 2: Convert to fraction form
    1,203.38/1,805.67 = 554.02/x
  3. Step 3: Cross multiply
    1,203.38x = 1,805.67 × 554.02
  4. Step 4: Simplify right side
    1,203.38x = 1,000,377.29
  5. Step 5: Solve for x
    x = 1,000,377.29/1,203.38
  6. Step 6: Final answer
    x = 831.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.