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Finding the Fourth Proportional to 1,055.06, 1,583.43 and 593.30

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Solution

The fourth proportional to 1,055.06, 1,583.43 and 593.30 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.06 : 1,583.43 = 593.30 : x
  2. Step 2: Convert to fraction form
    1,055.06/1,583.43 = 593.30/x
  3. Step 3: Cross multiply
    1,055.06x = 1,583.43 × 593.30
  4. Step 4: Simplify right side
    1,055.06x = 939,449.02
  5. Step 5: Solve for x
    x = 939,449.02/1,055.06
  6. Step 6: Final answer
    x = 890.42

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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.