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Finding the Fourth Proportional to 1,238.66, 1,709.05 and 686.66

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Solution

The fourth proportional to 1,238.66, 1,709.05 and 686.66 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.66 : 1,709.05 = 686.66 : x
  2. Step 2: Convert to fraction form
    1,238.66/1,709.05 = 686.66/x
  3. Step 3: Cross multiply
    1,238.66x = 1,709.05 × 686.66
  4. Step 4: Simplify right side
    1,238.66x = 1,173,536.27
  5. Step 5: Solve for x
    x = 1,173,536.27/1,238.66
  6. Step 6: Final answer
    x = 947.42

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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.