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Finding the Fourth Proportional to 1,099.36, 1,646.86 and 578.58

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Solution

The fourth proportional to 1,099.36, 1,646.86 and 578.58 is: 866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.36 : 1,646.86 = 578.58 : x
  2. Step 2: Convert to fraction form
    1,099.36/1,646.86 = 578.58/x
  3. Step 3: Cross multiply
    1,099.36x = 1,646.86 × 578.58
  4. Step 4: Simplify right side
    1,099.36x = 952,829.13
  5. Step 5: Solve for x
    x = 952,829.13/1,099.36
  6. Step 6: Final answer
    x = 866.71

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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.