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Finding the Fourth Proportional to 802.37, 1,196.56 and 767.54

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Solution

The fourth proportional to 802.37, 1,196.56 and 767.54 is: 1,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.37 : 1,196.56 = 767.54 : x
  2. Step 2: Convert to fraction form
    802.37/1,196.56 = 767.54/x
  3. Step 3: Cross multiply
    802.37x = 1,196.56 × 767.54
  4. Step 4: Simplify right side
    802.37x = 918,407.66
  5. Step 5: Solve for x
    x = 918,407.66/802.37
  6. Step 6: Final answer
    x = 1,144.62

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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.