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Finding the Fourth Proportional to 954.28, 1,316.10 and 605.08

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Solution

The fourth proportional to 954.28, 1,316.10 and 605.08 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.28 : 1,316.10 = 605.08 : x
  2. Step 2: Convert to fraction form
    954.28/1,316.10 = 605.08/x
  3. Step 3: Cross multiply
    954.28x = 1,316.10 × 605.08
  4. Step 4: Simplify right side
    954.28x = 796,345.79
  5. Step 5: Solve for x
    x = 796,345.79/954.28
  6. Step 6: Final answer
    x = 834.50

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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.