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Finding the Fourth Proportional to 1,138.50, 1,703.70 and 676.53

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Solution

The fourth proportional to 1,138.50, 1,703.70 and 676.53 is: 1,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.50 : 1,703.70 = 676.53 : x
  2. Step 2: Convert to fraction form
    1,138.50/1,703.70 = 676.53/x
  3. Step 3: Cross multiply
    1,138.50x = 1,703.70 × 676.53
  4. Step 4: Simplify right side
    1,138.50x = 1,152,604.16
  5. Step 5: Solve for x
    x = 1,152,604.16/1,138.50
  6. Step 6: Final answer
    x = 1,012.39

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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.