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Finding the Fourth Proportional to 686.36, 947.69 and 538.74

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Solution

The fourth proportional to 686.36, 947.69 and 538.74 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.36 : 947.69 = 538.74 : x
  2. Step 2: Convert to fraction form
    686.36/947.69 = 538.74/x
  3. Step 3: Cross multiply
    686.36x = 947.69 × 538.74
  4. Step 4: Simplify right side
    686.36x = 510,555.82
  5. Step 5: Solve for x
    x = 510,555.82/686.36
  6. Step 6: Final answer
    x = 743.87

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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.