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Finding the Fourth Proportional to 1,316.27, 1,816.43 and 756.73

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Solution

The fourth proportional to 1,316.27, 1,816.43 and 756.73 is: 1,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.27 : 1,816.43 = 756.73 : x
  2. Step 2: Convert to fraction form
    1,316.27/1,816.43 = 756.73/x
  3. Step 3: Cross multiply
    1,316.27x = 1,816.43 × 756.73
  4. Step 4: Simplify right side
    1,316.27x = 1,374,547.07
  5. Step 5: Solve for x
    x = 1,374,547.07/1,316.27
  6. Step 6: Final answer
    x = 1,044.27

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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.