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Finding the Fourth Proportional to 740.16, 1,016.85 and 662.49

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Solution

The fourth proportional to 740.16, 1,016.85 and 662.49 is: 910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.16 : 1,016.85 = 662.49 : x
  2. Step 2: Convert to fraction form
    740.16/1,016.85 = 662.49/x
  3. Step 3: Cross multiply
    740.16x = 1,016.85 × 662.49
  4. Step 4: Simplify right side
    740.16x = 673,651.71
  5. Step 5: Solve for x
    x = 673,651.71/740.16
  6. Step 6: Final answer
    x = 910.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.