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Finding the Fourth Proportional to 1,317.98, 1,973.75 and 854.34

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Solution

The fourth proportional to 1,317.98, 1,973.75 and 854.34 is: 1,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.98 : 1,973.75 = 854.34 : x
  2. Step 2: Convert to fraction form
    1,317.98/1,973.75 = 854.34/x
  3. Step 3: Cross multiply
    1,317.98x = 1,973.75 × 854.34
  4. Step 4: Simplify right side
    1,317.98x = 1,686,249.30
  5. Step 5: Solve for x
    x = 1,686,249.30/1,317.98
  6. Step 6: Final answer
    x = 1,279.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.