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Finding the Fourth Proportional to 872.47, 1,203.94 and 479.50

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Solution

The fourth proportional to 872.47, 1,203.94 and 479.50 is: 661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.47 : 1,203.94 = 479.50 : x
  2. Step 2: Convert to fraction form
    872.47/1,203.94 = 479.50/x
  3. Step 3: Cross multiply
    872.47x = 1,203.94 × 479.50
  4. Step 4: Simplify right side
    872.47x = 577,289.23
  5. Step 5: Solve for x
    x = 577,289.23/872.47
  6. Step 6: Final answer
    x = 661.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.