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Finding the Fourth Proportional to 976.78, 1,465.06 and 919.68

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Solution

The fourth proportional to 976.78, 1,465.06 and 919.68 is: 1,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.78 : 1,465.06 = 919.68 : x
  2. Step 2: Convert to fraction form
    976.78/1,465.06 = 919.68/x
  3. Step 3: Cross multiply
    976.78x = 1,465.06 × 919.68
  4. Step 4: Simplify right side
    976.78x = 1,347,386.38
  5. Step 5: Solve for x
    x = 1,347,386.38/976.78
  6. Step 6: Final answer
    x = 1,379.42

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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.