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Finding the Fourth Proportional to 736.63, 1,109.36 and 671.02

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Solution

The fourth proportional to 736.63, 1,109.36 and 671.02 is: 1,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.63 : 1,109.36 = 671.02 : x
  2. Step 2: Convert to fraction form
    736.63/1,109.36 = 671.02/x
  3. Step 3: Cross multiply
    736.63x = 1,109.36 × 671.02
  4. Step 4: Simplify right side
    736.63x = 744,401.65
  5. Step 5: Solve for x
    x = 744,401.65/736.63
  6. Step 6: Final answer
    x = 1,010.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.