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Finding the Fourth Proportional to 1,103.71, 1,522.54 and 683.93

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Solution

The fourth proportional to 1,103.71, 1,522.54 and 683.93 is: 943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.71 : 1,522.54 = 683.93 : x
  2. Step 2: Convert to fraction form
    1,103.71/1,522.54 = 683.93/x
  3. Step 3: Cross multiply
    1,103.71x = 1,522.54 × 683.93
  4. Step 4: Simplify right side
    1,103.71x = 1,041,304.02
  5. Step 5: Solve for x
    x = 1,041,304.02/1,103.71
  6. Step 6: Final answer
    x = 943.46

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