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Finding the Fourth Proportional to 1,588.15, 2,382.32 and 492.67

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Solution

The fourth proportional to 1,588.15, 2,382.32 and 492.67 is: 739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.15 : 2,382.32 = 492.67 : x
  2. Step 2: Convert to fraction form
    1,588.15/2,382.32 = 492.67/x
  3. Step 3: Cross multiply
    1,588.15x = 2,382.32 × 492.67
  4. Step 4: Simplify right side
    1,588.15x = 1,173,695.13
  5. Step 5: Solve for x
    x = 1,173,695.13/1,588.15
  6. Step 6: Final answer
    x = 739.03

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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.