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Finding the Fourth Proportional to 1,185.32, 1,784.39 and 1,066.25

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Solution

The fourth proportional to 1,185.32, 1,784.39 and 1,066.25 is: 1,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.32 : 1,784.39 = 1,066.25 : x
  2. Step 2: Convert to fraction form
    1,185.32/1,784.39 = 1,066.25/x
  3. Step 3: Cross multiply
    1,185.32x = 1,784.39 × 1,066.25
  4. Step 4: Simplify right side
    1,185.32x = 1,902,605.84
  5. Step 5: Solve for x
    x = 1,902,605.84/1,185.32
  6. Step 6: Final answer
    x = 1,605.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.