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Finding the Fourth Proportional to 1,091.54, 1,637.37 and 597.30

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Solution

The fourth proportional to 1,091.54, 1,637.37 and 597.30 is: 895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.54 : 1,637.37 = 597.30 : x
  2. Step 2: Convert to fraction form
    1,091.54/1,637.37 = 597.30/x
  3. Step 3: Cross multiply
    1,091.54x = 1,637.37 × 597.30
  4. Step 4: Simplify right side
    1,091.54x = 978,001.10
  5. Step 5: Solve for x
    x = 978,001.10/1,091.54
  6. Step 6: Final answer
    x = 895.99

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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.