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Finding the Fourth Proportional to 1,117.09, 1,673.74 and 683.34

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Solution

The fourth proportional to 1,117.09, 1,673.74 and 683.34 is: 1,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.09 : 1,673.74 = 683.34 : x
  2. Step 2: Convert to fraction form
    1,117.09/1,673.74 = 683.34/x
  3. Step 3: Cross multiply
    1,117.09x = 1,673.74 × 683.34
  4. Step 4: Simplify right side
    1,117.09x = 1,143,733.49
  5. Step 5: Solve for x
    x = 1,143,733.49/1,117.09
  6. Step 6: Final answer
    x = 1,023.85

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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.