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Finding the Fourth Proportional to 976.32, 1,465.62 and 771.02

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Solution

The fourth proportional to 976.32, 1,465.62 and 771.02 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,465.62 = 771.02 : x
  2. Step 2: Convert to fraction form
    976.32/1,465.62 = 771.02/x
  3. Step 3: Cross multiply
    976.32x = 1,465.62 × 771.02
  4. Step 4: Simplify right side
    976.32x = 1,130,022.33
  5. Step 5: Solve for x
    x = 1,130,022.33/976.32
  6. Step 6: Final answer
    x = 1,157.43

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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.