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Finding the Fourth Proportional to 956.10, 1,319.42 and 557.73

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Solution

The fourth proportional to 956.10, 1,319.42 and 557.73 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.10 : 1,319.42 = 557.73 : x
  2. Step 2: Convert to fraction form
    956.10/1,319.42 = 557.73/x
  3. Step 3: Cross multiply
    956.10x = 1,319.42 × 557.73
  4. Step 4: Simplify right side
    956.10x = 735,880.12
  5. Step 5: Solve for x
    x = 735,880.12/956.10
  6. Step 6: Final answer
    x = 769.67

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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.