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Finding the Fourth Proportional to 1,288.02, 1,933.29 and 557.85

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Solution

The fourth proportional to 1,288.02, 1,933.29 and 557.85 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.02 : 1,933.29 = 557.85 : x
  2. Step 2: Convert to fraction form
    1,288.02/1,933.29 = 557.85/x
  3. Step 3: Cross multiply
    1,288.02x = 1,933.29 × 557.85
  4. Step 4: Simplify right side
    1,288.02x = 1,078,485.83
  5. Step 5: Solve for x
    x = 1,078,485.83/1,288.02
  6. Step 6: Final answer
    x = 837.32

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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.