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Finding the Fourth Proportional to 1,099.99, 1,650.35 and 688.65

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Solution

The fourth proportional to 1,099.99, 1,650.35 and 688.65 is: 1,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.99 : 1,650.35 = 688.65 : x
  2. Step 2: Convert to fraction form
    1,099.99/1,650.35 = 688.65/x
  3. Step 3: Cross multiply
    1,099.99x = 1,650.35 × 688.65
  4. Step 4: Simplify right side
    1,099.99x = 1,136,513.53
  5. Step 5: Solve for x
    x = 1,136,513.53/1,099.99
  6. Step 6: Final answer
    x = 1,033.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.