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Finding the Fourth Proportional to 1,103.90, 1,522.50 and 710.96

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Solution

The fourth proportional to 1,103.90, 1,522.50 and 710.96 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.90 : 1,522.50 = 710.96 : x
  2. Step 2: Convert to fraction form
    1,103.90/1,522.50 = 710.96/x
  3. Step 3: Cross multiply
    1,103.90x = 1,522.50 × 710.96
  4. Step 4: Simplify right side
    1,103.90x = 1,082,436.60
  5. Step 5: Solve for x
    x = 1,082,436.60/1,103.90
  6. Step 6: Final answer
    x = 980.56

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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.