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Finding the Fourth Proportional to 1,406.73, 2,109.37 and 748.98

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Solution

The fourth proportional to 1,406.73, 2,109.37 and 748.98 is: 1,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.73 : 2,109.37 = 748.98 : x
  2. Step 2: Convert to fraction form
    1,406.73/2,109.37 = 748.98/x
  3. Step 3: Cross multiply
    1,406.73x = 2,109.37 × 748.98
  4. Step 4: Simplify right side
    1,406.73x = 1,579,875.65
  5. Step 5: Solve for x
    x = 1,579,875.65/1,406.73
  6. Step 6: Final answer
    x = 1,123.08

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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.