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Finding the Fourth Proportional to 677.30, 1,009.21 and 604.61

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Solution

The fourth proportional to 677.30, 1,009.21 and 604.61 is: 900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 1,009.21 = 604.61 : x
  2. Step 2: Convert to fraction form
    677.30/1,009.21 = 604.61/x
  3. Step 3: Cross multiply
    677.30x = 1,009.21 × 604.61
  4. Step 4: Simplify right side
    677.30x = 610,171.90
  5. Step 5: Solve for x
    x = 610,171.90/677.30
  6. Step 6: Final answer
    x = 900.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.