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Finding the Fourth Proportional to 1,375.99, 1,897.80 and 956.33

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Solution

The fourth proportional to 1,375.99, 1,897.80 and 956.33 is: 1,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.99 : 1,897.80 = 956.33 : x
  2. Step 2: Convert to fraction form
    1,375.99/1,897.80 = 956.33/x
  3. Step 3: Cross multiply
    1,375.99x = 1,897.80 × 956.33
  4. Step 4: Simplify right side
    1,375.99x = 1,814,923.07
  5. Step 5: Solve for x
    x = 1,814,923.07/1,375.99
  6. Step 6: Final answer
    x = 1,318.99

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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.