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Finding the Fourth Proportional to 1,153.34, 1,728.91 and 460.43

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Solution

The fourth proportional to 1,153.34, 1,728.91 and 460.43 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,728.91 = 460.43 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,728.91 = 460.43/x
  3. Step 3: Cross multiply
    1,153.34x = 1,728.91 × 460.43
  4. Step 4: Simplify right side
    1,153.34x = 796,040.45
  5. Step 5: Solve for x
    x = 796,040.45/1,153.34
  6. Step 6: Final answer
    x = 690.21

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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.