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Finding the Fourth Proportional to 954.75, 1,318.17 and 601.16

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Solution

The fourth proportional to 954.75, 1,318.17 and 601.16 is: 829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,318.17 = 601.16 : x
  2. Step 2: Convert to fraction form
    954.75/1,318.17 = 601.16/x
  3. Step 3: Cross multiply
    954.75x = 1,318.17 × 601.16
  4. Step 4: Simplify right side
    954.75x = 792,426.74
  5. Step 5: Solve for x
    x = 792,426.74/954.75
  6. Step 6: Final answer
    x = 829.98

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