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Finding the Fourth Proportional to 1,316.98, 1,974.09 and 536.68

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Solution

The fourth proportional to 1,316.98, 1,974.09 and 536.68 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.98 : 1,974.09 = 536.68 : x
  2. Step 2: Convert to fraction form
    1,316.98/1,974.09 = 536.68/x
  3. Step 3: Cross multiply
    1,316.98x = 1,974.09 × 536.68
  4. Step 4: Simplify right side
    1,316.98x = 1,059,454.62
  5. Step 5: Solve for x
    x = 1,059,454.62/1,316.98
  6. Step 6: Final answer
    x = 804.46

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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.