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Finding the Fourth Proportional to 898.62, 1,345.08 and 650.99

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Solution

The fourth proportional to 898.62, 1,345.08 and 650.99 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.62 : 1,345.08 = 650.99 : x
  2. Step 2: Convert to fraction form
    898.62/1,345.08 = 650.99/x
  3. Step 3: Cross multiply
    898.62x = 1,345.08 × 650.99
  4. Step 4: Simplify right side
    898.62x = 875,633.63
  5. Step 5: Solve for x
    x = 875,633.63/898.62
  6. Step 6: Final answer
    x = 974.42

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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.