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Finding the Fourth Proportional to 976.15, 1,460.33 and 847.66

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Solution

The fourth proportional to 976.15, 1,460.33 and 847.66 is: 1,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.15 : 1,460.33 = 847.66 : x
  2. Step 2: Convert to fraction form
    976.15/1,460.33 = 847.66/x
  3. Step 3: Cross multiply
    976.15x = 1,460.33 × 847.66
  4. Step 4: Simplify right side
    976.15x = 1,237,863.33
  5. Step 5: Solve for x
    x = 1,237,863.33/976.15
  6. Step 6: Final answer
    x = 1,268.11

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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.