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Finding the Fourth Proportional to 823.03, 1,235.16 and 716.11

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Solution

The fourth proportional to 823.03, 1,235.16 and 716.11 is: 1,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,235.16 = 716.11 : x
  2. Step 2: Convert to fraction form
    823.03/1,235.16 = 716.11/x
  3. Step 3: Cross multiply
    823.03x = 1,235.16 × 716.11
  4. Step 4: Simplify right side
    823.03x = 884,510.43
  5. Step 5: Solve for x
    x = 884,510.43/823.03
  6. Step 6: Final answer
    x = 1,074.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.