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Finding the Fourth Proportional to 956.37, 1,319.85 and 563.25

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Solution

The fourth proportional to 956.37, 1,319.85 and 563.25 is: 777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.37 : 1,319.85 = 563.25 : x
  2. Step 2: Convert to fraction form
    956.37/1,319.85 = 563.25/x
  3. Step 3: Cross multiply
    956.37x = 1,319.85 × 563.25
  4. Step 4: Simplify right side
    956.37x = 743,405.51
  5. Step 5: Solve for x
    x = 743,405.51/956.37
  6. Step 6: Final answer
    x = 777.32

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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.