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Finding the Fourth Proportional to 1,365.83, 1,883.35 and 922.96

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Solution

The fourth proportional to 1,365.83, 1,883.35 and 922.96 is: 1,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.83 : 1,883.35 = 922.96 : x
  2. Step 2: Convert to fraction form
    1,365.83/1,883.35 = 922.96/x
  3. Step 3: Cross multiply
    1,365.83x = 1,883.35 × 922.96
  4. Step 4: Simplify right side
    1,365.83x = 1,738,256.72
  5. Step 5: Solve for x
    x = 1,738,256.72/1,365.83
  6. Step 6: Final answer
    x = 1,272.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.