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Finding the Fourth Proportional to 1,099.98, 1,506.74 and 1,085.94

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Solution

The fourth proportional to 1,099.98, 1,506.74 and 1,085.94 is: 1,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,506.74 = 1,085.94 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,506.74 = 1,085.94/x
  3. Step 3: Cross multiply
    1,099.98x = 1,506.74 × 1,085.94
  4. Step 4: Simplify right side
    1,099.98x = 1,636,223.81
  5. Step 5: Solve for x
    x = 1,636,223.81/1,099.98
  6. Step 6: Final answer
    x = 1,487.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.