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Finding the Fourth Proportional to 686.40, 944.91 and 603.24

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Solution

The fourth proportional to 686.40, 944.91 and 603.24 is: 830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.40 : 944.91 = 603.24 : x
  2. Step 2: Convert to fraction form
    686.40/944.91 = 603.24/x
  3. Step 3: Cross multiply
    686.40x = 944.91 × 603.24
  4. Step 4: Simplify right side
    686.40x = 570,007.51
  5. Step 5: Solve for x
    x = 570,007.51/686.40
  6. Step 6: Final answer
    x = 830.43

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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.