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Finding the Fourth Proportional to 890.46, 1,228.89 and 492.12

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Solution

The fourth proportional to 890.46, 1,228.89 and 492.12 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,228.89 = 492.12 : x
  2. Step 2: Convert to fraction form
    890.46/1,228.89 = 492.12/x
  3. Step 3: Cross multiply
    890.46x = 1,228.89 × 492.12
  4. Step 4: Simplify right side
    890.46x = 604,761.35
  5. Step 5: Solve for x
    x = 604,761.35/890.46
  6. Step 6: Final answer
    x = 679.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.