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Finding the Fourth Proportional to 951.68, 1,313.92 and 597.77

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Solution

The fourth proportional to 951.68, 1,313.92 and 597.77 is: 825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.68 : 1,313.92 = 597.77 : x
  2. Step 2: Convert to fraction form
    951.68/1,313.92 = 597.77/x
  3. Step 3: Cross multiply
    951.68x = 1,313.92 × 597.77
  4. Step 4: Simplify right side
    951.68x = 785,423.75
  5. Step 5: Solve for x
    x = 785,423.75/951.68
  6. Step 6: Final answer
    x = 825.31

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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.