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Finding the Fourth Proportional to 951.37, 1,313.50 and 597.78

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Solution

The fourth proportional to 951.37, 1,313.50 and 597.78 is: 825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.37 : 1,313.50 = 597.78 : x
  2. Step 2: Convert to fraction form
    951.37/1,313.50 = 597.78/x
  3. Step 3: Cross multiply
    951.37x = 1,313.50 × 597.78
  4. Step 4: Simplify right side
    951.37x = 785,186.18
  5. Step 5: Solve for x
    x = 785,186.18/951.37
  6. Step 6: Final answer
    x = 825.32

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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.