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Finding the Fourth Proportional to 1,357.77, 2,036.25 and 383.97

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Solution

The fourth proportional to 1,357.77, 2,036.25 and 383.97 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.77 : 2,036.25 = 383.97 : x
  2. Step 2: Convert to fraction form
    1,357.77/2,036.25 = 383.97/x
  3. Step 3: Cross multiply
    1,357.77x = 2,036.25 × 383.97
  4. Step 4: Simplify right side
    1,357.77x = 781,858.91
  5. Step 5: Solve for x
    x = 781,858.91/1,357.77
  6. Step 6: Final answer
    x = 575.84

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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.