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Finding the Fourth Proportional to 1,237.49, 1,853.65 and 742.33

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Solution

The fourth proportional to 1,237.49, 1,853.65 and 742.33 is: 1,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.49 : 1,853.65 = 742.33 : x
  2. Step 2: Convert to fraction form
    1,237.49/1,853.65 = 742.33/x
  3. Step 3: Cross multiply
    1,237.49x = 1,853.65 × 742.33
  4. Step 4: Simplify right side
    1,237.49x = 1,376,017.23
  5. Step 5: Solve for x
    x = 1,376,017.23/1,237.49
  6. Step 6: Final answer
    x = 1,111.94

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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.