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Finding the Fourth Proportional to 837.71, 1,256.70 and 289.76

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Solution

The fourth proportional to 837.71, 1,256.70 and 289.76 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.71 : 1,256.70 = 289.76 : x
  2. Step 2: Convert to fraction form
    837.71/1,256.70 = 289.76/x
  3. Step 3: Cross multiply
    837.71x = 1,256.70 × 289.76
  4. Step 4: Simplify right side
    837.71x = 364,141.39
  5. Step 5: Solve for x
    x = 364,141.39/837.71
  6. Step 6: Final answer
    x = 434.69

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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.