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Finding the Fourth Proportional to 900.29, 1,242.81 and 605.72

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Solution

The fourth proportional to 900.29, 1,242.81 and 605.72 is: 836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.29 : 1,242.81 = 605.72 : x
  2. Step 2: Convert to fraction form
    900.29/1,242.81 = 605.72/x
  3. Step 3: Cross multiply
    900.29x = 1,242.81 × 605.72
  4. Step 4: Simplify right side
    900.29x = 752,797.98
  5. Step 5: Solve for x
    x = 752,797.98/900.29
  6. Step 6: Final answer
    x = 836.17

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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.