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Finding the Fourth Proportional to 1,357.41, 2,035.73 and 524.28

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Solution

The fourth proportional to 1,357.41, 2,035.73 and 524.28 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.41 : 2,035.73 = 524.28 : x
  2. Step 2: Convert to fraction form
    1,357.41/2,035.73 = 524.28/x
  3. Step 3: Cross multiply
    1,357.41x = 2,035.73 × 524.28
  4. Step 4: Simplify right side
    1,357.41x = 1,067,293.84
  5. Step 5: Solve for x
    x = 1,067,293.84/1,357.41
  6. Step 6: Final answer
    x = 786.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.