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Finding the Fourth Proportional to 1,097, 1,513.86 and 683.24

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Solution

The fourth proportional to 1,097, 1,513.86 and 683.24 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097 : 1,513.86 = 683.24 : x
  2. Step 2: Convert to fraction form
    1,097/1,513.86 = 683.24/x
  3. Step 3: Cross multiply
    1,097x = 1,513.86 × 683.24
  4. Step 4: Simplify right side
    1,097x = 1,034,329.71
  5. Step 5: Solve for x
    x = 1,034,329.71/1,097
  6. Step 6: Final answer
    x = 942.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.