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Finding the Fourth Proportional to 898.50, 1,346.12 and 465.96

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Solution

The fourth proportional to 898.50, 1,346.12 and 465.96 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.50 : 1,346.12 = 465.96 : x
  2. Step 2: Convert to fraction form
    898.50/1,346.12 = 465.96/x
  3. Step 3: Cross multiply
    898.50x = 1,346.12 × 465.96
  4. Step 4: Simplify right side
    898.50x = 627,238.08
  5. Step 5: Solve for x
    x = 627,238.08/898.50
  6. Step 6: Final answer
    x = 698.09

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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.