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Finding the Fourth Proportional to 1,375.23, 1,897.48 and 777.73

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Solution

The fourth proportional to 1,375.23, 1,897.48 and 777.73 is: 1,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.23 : 1,897.48 = 777.73 : x
  2. Step 2: Convert to fraction form
    1,375.23/1,897.48 = 777.73/x
  3. Step 3: Cross multiply
    1,375.23x = 1,897.48 × 777.73
  4. Step 4: Simplify right side
    1,375.23x = 1,475,727.12
  5. Step 5: Solve for x
    x = 1,475,727.12/1,375.23
  6. Step 6: Final answer
    x = 1,073.08

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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.