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Finding the Fourth Proportional to 945.84, 1,418.84 and 772.68

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Solution

The fourth proportional to 945.84, 1,418.84 and 772.68 is: 1,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,418.84 = 772.68 : x
  2. Step 2: Convert to fraction form
    945.84/1,418.84 = 772.68/x
  3. Step 3: Cross multiply
    945.84x = 1,418.84 × 772.68
  4. Step 4: Simplify right side
    945.84x = 1,096,309.29
  5. Step 5: Solve for x
    x = 1,096,309.29/945.84
  6. Step 6: Final answer
    x = 1,159.09

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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.