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Finding the Fourth Proportional to 1,018.88, 1,406.17 and 604.88

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Solution

The fourth proportional to 1,018.88, 1,406.17 and 604.88 is: 834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.88 : 1,406.17 = 604.88 : x
  2. Step 2: Convert to fraction form
    1,018.88/1,406.17 = 604.88/x
  3. Step 3: Cross multiply
    1,018.88x = 1,406.17 × 604.88
  4. Step 4: Simplify right side
    1,018.88x = 850,555.57
  5. Step 5: Solve for x
    x = 850,555.57/1,018.88
  6. Step 6: Final answer
    x = 834.80

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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.