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Finding the Fourth Proportional to 976.86, 1,465.09 and 360.86

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Solution

The fourth proportional to 976.86, 1,465.09 and 360.86 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,465.09 = 360.86 : x
  2. Step 2: Convert to fraction form
    976.86/1,465.09 = 360.86/x
  3. Step 3: Cross multiply
    976.86x = 1,465.09 × 360.86
  4. Step 4: Simplify right side
    976.86x = 528,684.15
  5. Step 5: Solve for x
    x = 528,684.15/976.86
  6. Step 6: Final answer
    x = 541.21

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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.