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Finding the Fourth Proportional to 1,316.09, 1,973.14 and 795.98

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Solution

The fourth proportional to 1,316.09, 1,973.14 and 795.98 is: 1,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.09 : 1,973.14 = 795.98 : x
  2. Step 2: Convert to fraction form
    1,316.09/1,973.14 = 795.98/x
  3. Step 3: Cross multiply
    1,316.09x = 1,973.14 × 795.98
  4. Step 4: Simplify right side
    1,316.09x = 1,570,571.82
  5. Step 5: Solve for x
    x = 1,570,571.82/1,316.09
  6. Step 6: Final answer
    x = 1,193.36

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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.