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Finding the Fourth Proportional to 796.73, 1,190.56 and 597.77

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Solution

The fourth proportional to 796.73, 1,190.56 and 597.77 is: 893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.73 : 1,190.56 = 597.77 : x
  2. Step 2: Convert to fraction form
    796.73/1,190.56 = 597.77/x
  3. Step 3: Cross multiply
    796.73x = 1,190.56 × 597.77
  4. Step 4: Simplify right side
    796.73x = 711,681.05
  5. Step 5: Solve for x
    x = 711,681.05/796.73
  6. Step 6: Final answer
    x = 893.25

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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.