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Finding the Fourth Proportional to 845.88, 1,268.80 and 434.80

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Solution

The fourth proportional to 845.88, 1,268.80 and 434.80 is: 652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.88 : 1,268.80 = 434.80 : x
  2. Step 2: Convert to fraction form
    845.88/1,268.80 = 434.80/x
  3. Step 3: Cross multiply
    845.88x = 1,268.80 × 434.80
  4. Step 4: Simplify right side
    845.88x = 551,674.74
  5. Step 5: Solve for x
    x = 551,674.74/845.88
  6. Step 6: Final answer
    x = 652.19

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