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Finding the Fourth Proportional to 845.29, 1,166.63 and 610.02

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Solution

The fourth proportional to 845.29, 1,166.63 and 610.02 is: 841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.29 : 1,166.63 = 610.02 : x
  2. Step 2: Convert to fraction form
    845.29/1,166.63 = 610.02/x
  3. Step 3: Cross multiply
    845.29x = 1,166.63 × 610.02
  4. Step 4: Simplify right side
    845.29x = 711,664.58
  5. Step 5: Solve for x
    x = 711,664.58/845.29
  6. Step 6: Final answer
    x = 841.92

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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.