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Finding the Fourth Proportional to 1,055.73, 1,584.42 and 690.42

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Solution

The fourth proportional to 1,055.73, 1,584.42 and 690.42 is: 1,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.73 : 1,584.42 = 690.42 : x
  2. Step 2: Convert to fraction form
    1,055.73/1,584.42 = 690.42/x
  3. Step 3: Cross multiply
    1,055.73x = 1,584.42 × 690.42
  4. Step 4: Simplify right side
    1,055.73x = 1,093,915.26
  5. Step 5: Solve for x
    x = 1,093,915.26/1,055.73
  6. Step 6: Final answer
    x = 1,036.17

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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.