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Finding the Fourth Proportional to 898.20, 1,346.00 and 620.27

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Solution

The fourth proportional to 898.20, 1,346.00 and 620.27 is: 929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.20 : 1,346.00 = 620.27 : x
  2. Step 2: Convert to fraction form
    898.20/1,346.00 = 620.27/x
  3. Step 3: Cross multiply
    898.20x = 1,346.00 × 620.27
  4. Step 4: Simplify right side
    898.20x = 834,880.32
  5. Step 5: Solve for x
    x = 834,880.32/898.20
  6. Step 6: Final answer
    x = 929.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.