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Finding the Fourth Proportional to 1,083.34, 1,624.92 and 313.84

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Solution

The fourth proportional to 1,083.34, 1,624.92 and 313.84 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,624.92 = 313.84 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,624.92 = 313.84/x
  3. Step 3: Cross multiply
    1,083.34x = 1,624.92 × 313.84
  4. Step 4: Simplify right side
    1,083.34x = 509,964.89
  5. Step 5: Solve for x
    x = 509,964.89/1,083.34
  6. Step 6: Final answer
    x = 470.73

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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.