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Finding the Fourth Proportional to 1,099.65, 1,649.48 and 893.24

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Solution

The fourth proportional to 1,099.65, 1,649.48 and 893.24 is: 1,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.65 : 1,649.48 = 893.24 : x
  2. Step 2: Convert to fraction form
    1,099.65/1,649.48 = 893.24/x
  3. Step 3: Cross multiply
    1,099.65x = 1,649.48 × 893.24
  4. Step 4: Simplify right side
    1,099.65x = 1,473,381.52
  5. Step 5: Solve for x
    x = 1,473,381.52/1,099.65
  6. Step 6: Final answer
    x = 1,339.86

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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.