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Finding the Fourth Proportional to 1,324.49, 1,827.10 and 785.81

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Solution

The fourth proportional to 1,324.49, 1,827.10 and 785.81 is: 1,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.49 : 1,827.10 = 785.81 : x
  2. Step 2: Convert to fraction form
    1,324.49/1,827.10 = 785.81/x
  3. Step 3: Cross multiply
    1,324.49x = 1,827.10 × 785.81
  4. Step 4: Simplify right side
    1,324.49x = 1,435,755.09
  5. Step 5: Solve for x
    x = 1,435,755.09/1,324.49
  6. Step 6: Final answer
    x = 1,084.01

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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.