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Finding the Fourth Proportional to 817.84, 1,218.49 and 776.53

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Solution

The fourth proportional to 817.84, 1,218.49 and 776.53 is: 1,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.84 : 1,218.49 = 776.53 : x
  2. Step 2: Convert to fraction form
    817.84/1,218.49 = 776.53/x
  3. Step 3: Cross multiply
    817.84x = 1,218.49 × 776.53
  4. Step 4: Simplify right side
    817.84x = 946,194.04
  5. Step 5: Solve for x
    x = 946,194.04/817.84
  6. Step 6: Final answer
    x = 1,156.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.