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Finding the Fourth Proportional to 845.89, 1,262.93 and 730.21

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Solution

The fourth proportional to 845.89, 1,262.93 and 730.21 is: 1,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.89 : 1,262.93 = 730.21 : x
  2. Step 2: Convert to fraction form
    845.89/1,262.93 = 730.21/x
  3. Step 3: Cross multiply
    845.89x = 1,262.93 × 730.21
  4. Step 4: Simplify right side
    845.89x = 922,204.12
  5. Step 5: Solve for x
    x = 922,204.12/845.89
  6. Step 6: Final answer
    x = 1,090.22

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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.