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Finding the Fourth Proportional to 1,125.72, 1,553.40 and 653.42

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Solution

The fourth proportional to 1,125.72, 1,553.40 and 653.42 is: 901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.72 : 1,553.40 = 653.42 : x
  2. Step 2: Convert to fraction form
    1,125.72/1,553.40 = 653.42/x
  3. Step 3: Cross multiply
    1,125.72x = 1,553.40 × 653.42
  4. Step 4: Simplify right side
    1,125.72x = 1,015,022.63
  5. Step 5: Solve for x
    x = 1,015,022.63/1,125.72
  6. Step 6: Final answer
    x = 901.67

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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.