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Finding the Fourth Proportional to 1,128.96, 1,558.08 and 1,023.84

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Solution

The fourth proportional to 1,128.96, 1,558.08 and 1,023.84 is: 1,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.96 : 1,558.08 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    1,128.96/1,558.08 = 1,023.84/x
  3. Step 3: Cross multiply
    1,128.96x = 1,558.08 × 1,023.84
  4. Step 4: Simplify right side
    1,128.96x = 1,595,224.63
  5. Step 5: Solve for x
    x = 1,595,224.63/1,128.96
  6. Step 6: Final answer
    x = 1,413.00

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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.