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Finding the Fourth Proportional to 1,117.71, 1,537.92 and 1,089.09

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Solution

The fourth proportional to 1,117.71, 1,537.92 and 1,089.09 is: 1,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.71 : 1,537.92 = 1,089.09 : x
  2. Step 2: Convert to fraction form
    1,117.71/1,537.92 = 1,089.09/x
  3. Step 3: Cross multiply
    1,117.71x = 1,537.92 × 1,089.09
  4. Step 4: Simplify right side
    1,117.71x = 1,674,933.29
  5. Step 5: Solve for x
    x = 1,674,933.29/1,117.71
  6. Step 6: Final answer
    x = 1,498.54

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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.