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Finding the Fourth Proportional to 954.42, 1,316.62 and 599.94

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Solution

The fourth proportional to 954.42, 1,316.62 and 599.94 is: 827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.42 : 1,316.62 = 599.94 : x
  2. Step 2: Convert to fraction form
    954.42/1,316.62 = 599.94/x
  3. Step 3: Cross multiply
    954.42x = 1,316.62 × 599.94
  4. Step 4: Simplify right side
    954.42x = 789,893.75
  5. Step 5: Solve for x
    x = 789,893.75/954.42
  6. Step 6: Final answer
    x = 827.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.