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Finding the Fourth Proportional to 845.79, 1,166.99 and 496.41

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Solution

The fourth proportional to 845.79, 1,166.99 and 496.41 is: 684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.79 : 1,166.99 = 496.41 : x
  2. Step 2: Convert to fraction form
    845.79/1,166.99 = 496.41/x
  3. Step 3: Cross multiply
    845.79x = 1,166.99 × 496.41
  4. Step 4: Simplify right side
    845.79x = 579,303.02
  5. Step 5: Solve for x
    x = 579,303.02/845.79
  6. Step 6: Final answer
    x = 684.93

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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.