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Finding the Fourth Proportional to 976.64, 1,464.60 and 823.64

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Solution

The fourth proportional to 976.64, 1,464.60 and 823.64 is: 1,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.64 : 1,464.60 = 823.64 : x
  2. Step 2: Convert to fraction form
    976.64/1,464.60 = 823.64/x
  3. Step 3: Cross multiply
    976.64x = 1,464.60 × 823.64
  4. Step 4: Simplify right side
    976.64x = 1,206,303.14
  5. Step 5: Solve for x
    x = 1,206,303.14/976.64
  6. Step 6: Final answer
    x = 1,235.16

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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.