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Finding the Fourth Proportional to 1,316.44, 1,975.33 and 797.68

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Solution

The fourth proportional to 1,316.44, 1,975.33 and 797.68 is: 1,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.44 : 1,975.33 = 797.68 : x
  2. Step 2: Convert to fraction form
    1,316.44/1,975.33 = 797.68/x
  3. Step 3: Cross multiply
    1,316.44x = 1,975.33 × 797.68
  4. Step 4: Simplify right side
    1,316.44x = 1,575,681.23
  5. Step 5: Solve for x
    x = 1,575,681.23/1,316.44
  6. Step 6: Final answer
    x = 1,196.93

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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.