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Finding the Fourth Proportional to 1,316.96, 1,973.52 and 952.52

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Solution

The fourth proportional to 1,316.96, 1,973.52 and 952.52 is: 1,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.96 : 1,973.52 = 952.52 : x
  2. Step 2: Convert to fraction form
    1,316.96/1,973.52 = 952.52/x
  3. Step 3: Cross multiply
    1,316.96x = 1,973.52 × 952.52
  4. Step 4: Simplify right side
    1,316.96x = 1,879,817.27
  5. Step 5: Solve for x
    x = 1,879,817.27/1,316.96
  6. Step 6: Final answer
    x = 1,427.39

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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.