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Finding the Fourth Proportional to 1,379.00, 1,903.03 and 749.50

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Solution

The fourth proportional to 1,379.00, 1,903.03 and 749.50 is: 1,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.00 : 1,903.03 = 749.50 : x
  2. Step 2: Convert to fraction form
    1,379.00/1,903.03 = 749.50/x
  3. Step 3: Cross multiply
    1,379.00x = 1,903.03 × 749.50
  4. Step 4: Simplify right side
    1,379.00x = 1,426,314.35
  5. Step 5: Solve for x
    x = 1,426,314.35/1,379.00
  6. Step 6: Final answer
    x = 1,034.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.