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Finding the Fourth Proportional to 873.08, 1,309.64 and 325.12

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Solution

The fourth proportional to 873.08, 1,309.64 and 325.12 is: 487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.08 : 1,309.64 = 325.12 : x
  2. Step 2: Convert to fraction form
    873.08/1,309.64 = 325.12/x
  3. Step 3: Cross multiply
    873.08x = 1,309.64 × 325.12
  4. Step 4: Simplify right side
    873.08x = 425,790.16
  5. Step 5: Solve for x
    x = 425,790.16/873.08
  6. Step 6: Final answer
    x = 487.69

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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.