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Finding the Fourth Proportional to 1,110, 1,664.82 and 784.38

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Solution

The fourth proportional to 1,110, 1,664.82 and 784.38 is: 1,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110 : 1,664.82 = 784.38 : x
  2. Step 2: Convert to fraction form
    1,110/1,664.82 = 784.38/x
  3. Step 3: Cross multiply
    1,110x = 1,664.82 × 784.38
  4. Step 4: Simplify right side
    1,110x = 1,305,851.51
  5. Step 5: Solve for x
    x = 1,305,851.51/1,110
  6. Step 6: Final answer
    x = 1,176.44

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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.