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Finding the Fourth Proportional to 956.12, 1,433.34 and 810.81

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Solution

The fourth proportional to 956.12, 1,433.34 and 810.81 is: 1,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.12 : 1,433.34 = 810.81 : x
  2. Step 2: Convert to fraction form
    956.12/1,433.34 = 810.81/x
  3. Step 3: Cross multiply
    956.12x = 1,433.34 × 810.81
  4. Step 4: Simplify right side
    956.12x = 1,162,166.41
  5. Step 5: Solve for x
    x = 1,162,166.41/956.12
  6. Step 6: Final answer
    x = 1,215.51

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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.