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Finding the Fourth Proportional to 956.10, 1,319.64 and 563.36

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Solution

The fourth proportional to 956.10, 1,319.64 and 563.36 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.10 : 1,319.64 = 563.36 : x
  2. Step 2: Convert to fraction form
    956.10/1,319.64 = 563.36/x
  3. Step 3: Cross multiply
    956.10x = 1,319.64 × 563.36
  4. Step 4: Simplify right side
    956.10x = 743,426.85
  5. Step 5: Solve for x
    x = 743,426.85/956.10
  6. Step 6: Final answer
    x = 777.56

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Why These Related Problems?

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