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Finding the Fourth Proportional to 1,427.37, 2,139.42 and 656.25

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Solution

The fourth proportional to 1,427.37, 2,139.42 and 656.25 is: 983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.37 : 2,139.42 = 656.25 : x
  2. Step 2: Convert to fraction form
    1,427.37/2,139.42 = 656.25/x
  3. Step 3: Cross multiply
    1,427.37x = 2,139.42 × 656.25
  4. Step 4: Simplify right side
    1,427.37x = 1,403,994.38
  5. Step 5: Solve for x
    x = 1,403,994.38/1,427.37
  6. Step 6: Final answer
    x = 983.62

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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.