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Finding the Fourth Proportional to 817.06, 1,120.64 and 718.65

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Solution

The fourth proportional to 817.06, 1,120.64 and 718.65 is: 985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.06 : 1,120.64 = 718.65 : x
  2. Step 2: Convert to fraction form
    817.06/1,120.64 = 718.65/x
  3. Step 3: Cross multiply
    817.06x = 1,120.64 × 718.65
  4. Step 4: Simplify right side
    817.06x = 805,347.94
  5. Step 5: Solve for x
    x = 805,347.94/817.06
  6. Step 6: Final answer
    x = 985.67

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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.