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Finding the Fourth Proportional to 823.44, 1,235.22 and 678.72

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Solution

The fourth proportional to 823.44, 1,235.22 and 678.72 is: 1,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.44 : 1,235.22 = 678.72 : x
  2. Step 2: Convert to fraction form
    823.44/1,235.22 = 678.72/x
  3. Step 3: Cross multiply
    823.44x = 1,235.22 × 678.72
  4. Step 4: Simplify right side
    823.44x = 838,368.52
  5. Step 5: Solve for x
    x = 838,368.52/823.44
  6. Step 6: Final answer
    x = 1,018.13

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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.