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Finding the Fourth Proportional to 1,231.51, 1,846.35 and 501.28

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Solution

The fourth proportional to 1,231.51, 1,846.35 and 501.28 is: 751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.51 : 1,846.35 = 501.28 : x
  2. Step 2: Convert to fraction form
    1,231.51/1,846.35 = 501.28/x
  3. Step 3: Cross multiply
    1,231.51x = 1,846.35 × 501.28
  4. Step 4: Simplify right side
    1,231.51x = 925,538.33
  5. Step 5: Solve for x
    x = 925,538.33/1,231.51
  6. Step 6: Final answer
    x = 751.55

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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.