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Finding the Fourth Proportional to 837.50, 1,256.56 and 770.07

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Solution

The fourth proportional to 837.50, 1,256.56 and 770.07 is: 1,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.50 : 1,256.56 = 770.07 : x
  2. Step 2: Convert to fraction form
    837.50/1,256.56 = 770.07/x
  3. Step 3: Cross multiply
    837.50x = 1,256.56 × 770.07
  4. Step 4: Simplify right side
    837.50x = 967,635.31
  5. Step 5: Solve for x
    x = 967,635.31/837.50
  6. Step 6: Final answer
    x = 1,155.39

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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.