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Finding the Fourth Proportional to 1,093.54, 1,639.93 and 313.33

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Solution

The fourth proportional to 1,093.54, 1,639.93 and 313.33 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.54 : 1,639.93 = 313.33 : x
  2. Step 2: Convert to fraction form
    1,093.54/1,639.93 = 313.33/x
  3. Step 3: Cross multiply
    1,093.54x = 1,639.93 × 313.33
  4. Step 4: Simplify right side
    1,093.54x = 513,834.38
  5. Step 5: Solve for x
    x = 513,834.38/1,093.54
  6. Step 6: Final answer
    x = 469.88

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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.