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Finding the Fourth Proportional to 845.41, 1,268.13 and 460.66

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Solution

The fourth proportional to 845.41, 1,268.13 and 460.66 is: 691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.41 : 1,268.13 = 460.66 : x
  2. Step 2: Convert to fraction form
    845.41/1,268.13 = 460.66/x
  3. Step 3: Cross multiply
    845.41x = 1,268.13 × 460.66
  4. Step 4: Simplify right side
    845.41x = 584,176.77
  5. Step 5: Solve for x
    x = 584,176.77/845.41
  6. Step 6: Final answer
    x = 691.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.