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Finding the Fourth Proportional to 801.96, 1,106.64 and 605.13

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Solution

The fourth proportional to 801.96, 1,106.64 and 605.13 is: 835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.96 : 1,106.64 = 605.13 : x
  2. Step 2: Convert to fraction form
    801.96/1,106.64 = 605.13/x
  3. Step 3: Cross multiply
    801.96x = 1,106.64 × 605.13
  4. Step 4: Simplify right side
    801.96x = 669,661.06
  5. Step 5: Solve for x
    x = 669,661.06/801.96
  6. Step 6: Final answer
    x = 835.03

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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.