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Finding the Fourth Proportional to 845.04, 1,268.72 and 434.46

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Solution

The fourth proportional to 845.04, 1,268.72 and 434.46 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.04 : 1,268.72 = 434.46 : x
  2. Step 2: Convert to fraction form
    845.04/1,268.72 = 434.46/x
  3. Step 3: Cross multiply
    845.04x = 1,268.72 × 434.46
  4. Step 4: Simplify right side
    845.04x = 551,208.09
  5. Step 5: Solve for x
    x = 551,208.09/845.04
  6. Step 6: Final answer
    x = 652.29

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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.