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Finding the Fourth Proportional to 1,231.48, 1,699.71 and 783.26

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Solution

The fourth proportional to 1,231.48, 1,699.71 and 783.26 is: 1,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.48 : 1,699.71 = 783.26 : x
  2. Step 2: Convert to fraction form
    1,231.48/1,699.71 = 783.26/x
  3. Step 3: Cross multiply
    1,231.48x = 1,699.71 × 783.26
  4. Step 4: Simplify right side
    1,231.48x = 1,331,306.36
  5. Step 5: Solve for x
    x = 1,331,306.36/1,231.48
  6. Step 6: Final answer
    x = 1,081.07

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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.