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Finding the Fourth Proportional to 1,437.31, 1,984.40 and 995.05

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Solution

The fourth proportional to 1,437.31, 1,984.40 and 995.05 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.31 : 1,984.40 = 995.05 : x
  2. Step 2: Convert to fraction form
    1,437.31/1,984.40 = 995.05/x
  3. Step 3: Cross multiply
    1,437.31x = 1,984.40 × 995.05
  4. Step 4: Simplify right side
    1,437.31x = 1,974,577.22
  5. Step 5: Solve for x
    x = 1,974,577.22/1,437.31
  6. Step 6: Final answer
    x = 1,373.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.