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Finding the Fourth Proportional to 931.80, 1,285.74 and 538.86

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Solution

The fourth proportional to 931.80, 1,285.74 and 538.86 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.80 : 1,285.74 = 538.86 : x
  2. Step 2: Convert to fraction form
    931.80/1,285.74 = 538.86/x
  3. Step 3: Cross multiply
    931.80x = 1,285.74 × 538.86
  4. Step 4: Simplify right side
    931.80x = 692,833.86
  5. Step 5: Solve for x
    x = 692,833.86/931.80
  6. Step 6: Final answer
    x = 743.54

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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.