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Finding the Fourth Proportional to 677.25, 931.77 and 603.41

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Solution

The fourth proportional to 677.25, 931.77 and 603.41 is: 830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 931.77 = 603.41 : x
  2. Step 2: Convert to fraction form
    677.25/931.77 = 603.41/x
  3. Step 3: Cross multiply
    677.25x = 931.77 × 603.41
  4. Step 4: Simplify right side
    677.25x = 562,234.68
  5. Step 5: Solve for x
    x = 562,234.68/677.25
  6. Step 6: Final answer
    x = 830.17

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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.