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Finding the Fourth Proportional to 890.45, 1,228.83 and 492.12

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Solution

The fourth proportional to 890.45, 1,228.83 and 492.12 is: 679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,228.83 = 492.12 : x
  2. Step 2: Convert to fraction form
    890.45/1,228.83 = 492.12/x
  3. Step 3: Cross multiply
    890.45x = 1,228.83 × 492.12
  4. Step 4: Simplify right side
    890.45x = 604,731.82
  5. Step 5: Solve for x
    x = 604,731.82/890.45
  6. Step 6: Final answer
    x = 679.13

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Why These Related Problems?

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