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Finding the Fourth Proportional to 1,368.14, 1,887.62 and 844.34

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Solution

The fourth proportional to 1,368.14, 1,887.62 and 844.34 is: 1,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 1,887.62 = 844.34 : x
  2. Step 2: Convert to fraction form
    1,368.14/1,887.62 = 844.34/x
  3. Step 3: Cross multiply
    1,368.14x = 1,887.62 × 844.34
  4. Step 4: Simplify right side
    1,368.14x = 1,593,779.41
  5. Step 5: Solve for x
    x = 1,593,779.41/1,368.14
  6. Step 6: Final answer
    x = 1,164.93

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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.