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Finding the Fourth Proportional to 832.52, 1,247.72 and 312.05

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Solution

The fourth proportional to 832.52, 1,247.72 and 312.05 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.52 : 1,247.72 = 312.05 : x
  2. Step 2: Convert to fraction form
    832.52/1,247.72 = 312.05/x
  3. Step 3: Cross multiply
    832.52x = 1,247.72 × 312.05
  4. Step 4: Simplify right side
    832.52x = 389,343.23
  5. Step 5: Solve for x
    x = 389,343.23/832.52
  6. Step 6: Final answer
    x = 467.67

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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.