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Finding the Fourth Proportional to 823.70, 1,235.55 and 807.70

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Solution

The fourth proportional to 823.70, 1,235.55 and 807.70 is: 1,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.70 : 1,235.55 = 807.70 : x
  2. Step 2: Convert to fraction form
    823.70/1,235.55 = 807.70/x
  3. Step 3: Cross multiply
    823.70x = 1,235.55 × 807.70
  4. Step 4: Simplify right side
    823.70x = 997,953.74
  5. Step 5: Solve for x
    x = 997,953.74/823.70
  6. Step 6: Final answer
    x = 1,211.55

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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.