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Finding the Fourth Proportional to 1,117.13, 1,673.26 and 683.78

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Solution

The fourth proportional to 1,117.13, 1,673.26 and 683.78 is: 1,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.13 : 1,673.26 = 683.78 : x
  2. Step 2: Convert to fraction form
    1,117.13/1,673.26 = 683.78/x
  3. Step 3: Cross multiply
    1,117.13x = 1,673.26 × 683.78
  4. Step 4: Simplify right side
    1,117.13x = 1,144,141.72
  5. Step 5: Solve for x
    x = 1,144,141.72/1,117.13
  6. Step 6: Final answer
    x = 1,024.18

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