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Finding the Fourth Proportional to 1,237.31, 1,854.34 and 506.49

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Solution

The fourth proportional to 1,237.31, 1,854.34 and 506.49 is: 759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.31 : 1,854.34 = 506.49 : x
  2. Step 2: Convert to fraction form
    1,237.31/1,854.34 = 506.49/x
  3. Step 3: Cross multiply
    1,237.31x = 1,854.34 × 506.49
  4. Step 4: Simplify right side
    1,237.31x = 939,199.30
  5. Step 5: Solve for x
    x = 939,199.30/1,237.31
  6. Step 6: Final answer
    x = 759.07

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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.