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Finding the Fourth Proportional to 983.44, 1,476.60 and 598.96

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Solution

The fourth proportional to 983.44, 1,476.60 and 598.96 is: 899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 1,476.60 = 598.96 : x
  2. Step 2: Convert to fraction form
    983.44/1,476.60 = 598.96/x
  3. Step 3: Cross multiply
    983.44x = 1,476.60 × 598.96
  4. Step 4: Simplify right side
    983.44x = 884,424.34
  5. Step 5: Solve for x
    x = 884,424.34/983.44
  6. Step 6: Final answer
    x = 899.32

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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.