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Finding the Fourth Proportional to 1,087.90, 1,629.15 and 697.30

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Solution

The fourth proportional to 1,087.90, 1,629.15 and 697.30 is: 1,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.90 : 1,629.15 = 697.30 : x
  2. Step 2: Convert to fraction form
    1,087.90/1,629.15 = 697.30/x
  3. Step 3: Cross multiply
    1,087.90x = 1,629.15 × 697.30
  4. Step 4: Simplify right side
    1,087.90x = 1,136,006.30
  5. Step 5: Solve for x
    x = 1,136,006.30/1,087.90
  6. Step 6: Final answer
    x = 1,044.22

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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.