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Finding the Fourth Proportional to 898.80, 1,346.48 and 466.40

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Solution

The fourth proportional to 898.80, 1,346.48 and 466.40 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.80 : 1,346.48 = 466.40 : x
  2. Step 2: Convert to fraction form
    898.80/1,346.48 = 466.40/x
  3. Step 3: Cross multiply
    898.80x = 1,346.48 × 466.40
  4. Step 4: Simplify right side
    898.80x = 627,998.27
  5. Step 5: Solve for x
    x = 627,998.27/898.80
  6. Step 6: Final answer
    x = 698.71

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