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Finding the Fourth Proportional to 1,313.81, 1,813.10 and 724.39

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Solution

The fourth proportional to 1,313.81, 1,813.10 and 724.39 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.81 : 1,813.10 = 724.39 : x
  2. Step 2: Convert to fraction form
    1,313.81/1,813.10 = 724.39/x
  3. Step 3: Cross multiply
    1,313.81x = 1,813.10 × 724.39
  4. Step 4: Simplify right side
    1,313.81x = 1,313,391.51
  5. Step 5: Solve for x
    x = 1,313,391.51/1,313.81
  6. Step 6: Final answer
    x = 999.68

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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.