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Finding the Fourth Proportional to 1,153.23, 1,729.85 and 459.85

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Solution

The fourth proportional to 1,153.23, 1,729.85 and 459.85 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.23 : 1,729.85 = 459.85 : x
  2. Step 2: Convert to fraction form
    1,153.23/1,729.85 = 459.85/x
  3. Step 3: Cross multiply
    1,153.23x = 1,729.85 × 459.85
  4. Step 4: Simplify right side
    1,153.23x = 795,471.52
  5. Step 5: Solve for x
    x = 795,471.52/1,153.23
  6. Step 6: Final answer
    x = 689.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.