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Finding the Fourth Proportional to 941.84, 1,305.18 and 924.56

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Solution

The fourth proportional to 941.84, 1,305.18 and 924.56 is: 1,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.84 : 1,305.18 = 924.56 : x
  2. Step 2: Convert to fraction form
    941.84/1,305.18 = 924.56/x
  3. Step 3: Cross multiply
    941.84x = 1,305.18 × 924.56
  4. Step 4: Simplify right side
    941.84x = 1,206,717.22
  5. Step 5: Solve for x
    x = 1,206,717.22/941.84
  6. Step 6: Final answer
    x = 1,281.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.