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Finding the Fourth Proportional to 976.09, 1,464.45 and 823.45

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Solution

The fourth proportional to 976.09, 1,464.45 and 823.45 is: 1,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.09 : 1,464.45 = 823.45 : x
  2. Step 2: Convert to fraction form
    976.09/1,464.45 = 823.45/x
  3. Step 3: Cross multiply
    976.09x = 1,464.45 × 823.45
  4. Step 4: Simplify right side
    976.09x = 1,205,901.35
  5. Step 5: Solve for x
    x = 1,205,901.35/976.09
  6. Step 6: Final answer
    x = 1,235.44

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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.