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Finding the Fourth Proportional to 964.22, 1,446.79 and 598.90

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Solution

The fourth proportional to 964.22, 1,446.79 and 598.90 is: 898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,446.79 = 598.90 : x
  2. Step 2: Convert to fraction form
    964.22/1,446.79 = 598.90/x
  3. Step 3: Cross multiply
    964.22x = 1,446.79 × 598.90
  4. Step 4: Simplify right side
    964.22x = 866,482.53
  5. Step 5: Solve for x
    x = 866,482.53/964.22
  6. Step 6: Final answer
    x = 898.64

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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.