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Finding the Fourth Proportional to 836.90, 1,256.70 and 631.70

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Solution

The fourth proportional to 836.90, 1,256.70 and 631.70 is: 948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.90 : 1,256.70 = 631.70 : x
  2. Step 2: Convert to fraction form
    836.90/1,256.70 = 631.70/x
  3. Step 3: Cross multiply
    836.90x = 1,256.70 × 631.70
  4. Step 4: Simplify right side
    836.90x = 793,857.39
  5. Step 5: Solve for x
    x = 793,857.39/836.90
  6. Step 6: Final answer
    x = 948.57

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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.