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Finding the Fourth Proportional to 931.44, 1,285.79 and 616.86

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Solution

The fourth proportional to 931.44, 1,285.79 and 616.86 is: 851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,285.79 = 616.86 : x
  2. Step 2: Convert to fraction form
    931.44/1,285.79 = 616.86/x
  3. Step 3: Cross multiply
    931.44x = 1,285.79 × 616.86
  4. Step 4: Simplify right side
    931.44x = 793,152.42
  5. Step 5: Solve for x
    x = 793,152.42/931.44
  6. Step 6: Final answer
    x = 851.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.