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Finding the Fourth Proportional to 1,204.04, 1,805.46 and 929.46

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Solution

The fourth proportional to 1,204.04, 1,805.46 and 929.46 is: 1,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.04 : 1,805.46 = 929.46 : x
  2. Step 2: Convert to fraction form
    1,204.04/1,805.46 = 929.46/x
  3. Step 3: Cross multiply
    1,204.04x = 1,805.46 × 929.46
  4. Step 4: Simplify right side
    1,204.04x = 1,678,102.85
  5. Step 5: Solve for x
    x = 1,678,102.85/1,204.04
  6. Step 6: Final answer
    x = 1,393.73

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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.