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Finding the Fourth Proportional to 736.44, 1,100.54 and 597.93

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Solution

The fourth proportional to 736.44, 1,100.54 and 597.93 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.44 : 1,100.54 = 597.93 : x
  2. Step 2: Convert to fraction form
    736.44/1,100.54 = 597.93/x
  3. Step 3: Cross multiply
    736.44x = 1,100.54 × 597.93
  4. Step 4: Simplify right side
    736.44x = 658,042.89
  5. Step 5: Solve for x
    x = 658,042.89/736.44
  6. Step 6: Final answer
    x = 893.55

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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.