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Finding the Fourth Proportional to 1,023.95, 1,534.97 and 933.77

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Solution

The fourth proportional to 1,023.95, 1,534.97 and 933.77 is: 1,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.95 : 1,534.97 = 933.77 : x
  2. Step 2: Convert to fraction form
    1,023.95/1,534.97 = 933.77/x
  3. Step 3: Cross multiply
    1,023.95x = 1,534.97 × 933.77
  4. Step 4: Simplify right side
    1,023.95x = 1,433,296.59
  5. Step 5: Solve for x
    x = 1,433,296.59/1,023.95
  6. Step 6: Final answer
    x = 1,399.78

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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.