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Finding the Fourth Proportional to 1,237.66, 1,709.82 and 813.29

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Solution

The fourth proportional to 1,237.66, 1,709.82 and 813.29 is: 1,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.66 : 1,709.82 = 813.29 : x
  2. Step 2: Convert to fraction form
    1,237.66/1,709.82 = 813.29/x
  3. Step 3: Cross multiply
    1,237.66x = 1,709.82 × 813.29
  4. Step 4: Simplify right side
    1,237.66x = 1,390,579.51
  5. Step 5: Solve for x
    x = 1,390,579.51/1,237.66
  6. Step 6: Final answer
    x = 1,123.56

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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.