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Finding the Fourth Proportional to 1,357.27, 1,873.37 and 826.31

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Solution

The fourth proportional to 1,357.27, 1,873.37 and 826.31 is: 1,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.27 : 1,873.37 = 826.31 : x
  2. Step 2: Convert to fraction form
    1,357.27/1,873.37 = 826.31/x
  3. Step 3: Cross multiply
    1,357.27x = 1,873.37 × 826.31
  4. Step 4: Simplify right side
    1,357.27x = 1,547,991.11
  5. Step 5: Solve for x
    x = 1,547,991.11/1,357.27
  6. Step 6: Final answer
    x = 1,140.52

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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.