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Finding the Fourth Proportional to 1,588.05, 2,382.14 and 492.44

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Solution

The fourth proportional to 1,588.05, 2,382.14 and 492.44 is: 738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.05 : 2,382.14 = 492.44 : x
  2. Step 2: Convert to fraction form
    1,588.05/2,382.14 = 492.44/x
  3. Step 3: Cross multiply
    1,588.05x = 2,382.14 × 492.44
  4. Step 4: Simplify right side
    1,588.05x = 1,173,050.34
  5. Step 5: Solve for x
    x = 1,173,050.34/1,588.05
  6. Step 6: Final answer
    x = 738.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.