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Finding the Fourth Proportional to 845.01, 1,166.81 and 609.48

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Solution

The fourth proportional to 845.01, 1,166.81 and 609.48 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,166.81 = 609.48 : x
  2. Step 2: Convert to fraction form
    845.01/1,166.81 = 609.48/x
  3. Step 3: Cross multiply
    845.01x = 1,166.81 × 609.48
  4. Step 4: Simplify right side
    845.01x = 711,144.31
  5. Step 5: Solve for x
    x = 711,144.31/845.01
  6. Step 6: Final answer
    x = 841.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.