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Finding the Fourth Proportional to 1,588.52, 2,383.12 and 492.86

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Solution

The fourth proportional to 1,588.52, 2,383.12 and 492.86 is: 739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.52 : 2,383.12 = 492.86 : x
  2. Step 2: Convert to fraction form
    1,588.52/2,383.12 = 492.86/x
  3. Step 3: Cross multiply
    1,588.52x = 2,383.12 × 492.86
  4. Step 4: Simplify right side
    1,588.52x = 1,174,544.52
  5. Step 5: Solve for x
    x = 1,174,544.52/1,588.52
  6. Step 6: Final answer
    x = 739.40

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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.