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Finding the Fourth Proportional to 1,357.36, 2,035.80 and 383.56

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Solution

The fourth proportional to 1,357.36, 2,035.80 and 383.56 is: 575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.36 : 2,035.80 = 383.56 : x
  2. Step 2: Convert to fraction form
    1,357.36/2,035.80 = 383.56/x
  3. Step 3: Cross multiply
    1,357.36x = 2,035.80 × 383.56
  4. Step 4: Simplify right side
    1,357.36x = 780,851.45
  5. Step 5: Solve for x
    x = 780,851.45/1,357.36
  6. Step 6: Final answer
    x = 575.27

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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.