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Finding the Fourth Proportional to 1,434.36, 1,978.92 and 844.77

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Solution

The fourth proportional to 1,434.36, 1,978.92 and 844.77 is: 1,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.36 : 1,978.92 = 844.77 : x
  2. Step 2: Convert to fraction form
    1,434.36/1,978.92 = 844.77/x
  3. Step 3: Cross multiply
    1,434.36x = 1,978.92 × 844.77
  4. Step 4: Simplify right side
    1,434.36x = 1,671,732.25
  5. Step 5: Solve for x
    x = 1,671,732.25/1,434.36
  6. Step 6: Final answer
    x = 1,165.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.