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Finding the Fourth Proportional to 1,237.09, 1,852.66 and 748.93

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Solution

The fourth proportional to 1,237.09, 1,852.66 and 748.93 is: 1,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.09 : 1,852.66 = 748.93 : x
  2. Step 2: Convert to fraction form
    1,237.09/1,852.66 = 748.93/x
  3. Step 3: Cross multiply
    1,237.09x = 1,852.66 × 748.93
  4. Step 4: Simplify right side
    1,237.09x = 1,387,512.65
  5. Step 5: Solve for x
    x = 1,387,512.65/1,237.09
  6. Step 6: Final answer
    x = 1,121.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.