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Finding the Fourth Proportional to 1,325.14, 1,985.25 and 666.25

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Solution

The fourth proportional to 1,325.14, 1,985.25 and 666.25 is: 998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.14 : 1,985.25 = 666.25 : x
  2. Step 2: Convert to fraction form
    1,325.14/1,985.25 = 666.25/x
  3. Step 3: Cross multiply
    1,325.14x = 1,985.25 × 666.25
  4. Step 4: Simplify right side
    1,325.14x = 1,322,662.89
  5. Step 5: Solve for x
    x = 1,322,662.89/1,325.14
  6. Step 6: Final answer
    x = 998.13

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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.