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Finding the Fourth Proportional to 1,310.15, 1,966.04 and 823.48

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Solution

The fourth proportional to 1,310.15, 1,966.04 and 823.48 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.15 : 1,966.04 = 823.48 : x
  2. Step 2: Convert to fraction form
    1,310.15/1,966.04 = 823.48/x
  3. Step 3: Cross multiply
    1,310.15x = 1,966.04 × 823.48
  4. Step 4: Simplify right side
    1,310.15x = 1,618,994.62
  5. Step 5: Solve for x
    x = 1,618,994.62/1,310.15
  6. Step 6: Final answer
    x = 1,235.73

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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.