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Finding the Fourth Proportional to 869.14, 1,302.76 and 406.63

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Solution

The fourth proportional to 869.14, 1,302.76 and 406.63 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.14 : 1,302.76 = 406.63 : x
  2. Step 2: Convert to fraction form
    869.14/1,302.76 = 406.63/x
  3. Step 3: Cross multiply
    869.14x = 1,302.76 × 406.63
  4. Step 4: Simplify right side
    869.14x = 529,741.30
  5. Step 5: Solve for x
    x = 529,741.30/869.14
  6. Step 6: Final answer
    x = 609.50

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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.