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Finding the Fourth Proportional to 890.62, 1,228.54 and 536.30

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Solution

The fourth proportional to 890.62, 1,228.54 and 536.30 is: 739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.62 : 1,228.54 = 536.30 : x
  2. Step 2: Convert to fraction form
    890.62/1,228.54 = 536.30/x
  3. Step 3: Cross multiply
    890.62x = 1,228.54 × 536.30
  4. Step 4: Simplify right side
    890.62x = 658,866.00
  5. Step 5: Solve for x
    x = 658,866.00/890.62
  6. Step 6: Final answer
    x = 739.78

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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.