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Finding the Fourth Proportional to 732.90, 1,093.82 and 670.94

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Solution

The fourth proportional to 732.90, 1,093.82 and 670.94 is: 1,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.90 : 1,093.82 = 670.94 : x
  2. Step 2: Convert to fraction form
    732.90/1,093.82 = 670.94/x
  3. Step 3: Cross multiply
    732.90x = 1,093.82 × 670.94
  4. Step 4: Simplify right side
    732.90x = 733,887.59
  5. Step 5: Solve for x
    x = 733,887.59/732.90
  6. Step 6: Final answer
    x = 1,001.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.