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Finding the Fourth Proportional to 1,153.82, 1,728.93 and 633.38

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Solution

The fourth proportional to 1,153.82, 1,728.93 and 633.38 is: 949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.82 : 1,728.93 = 633.38 : x
  2. Step 2: Convert to fraction form
    1,153.82/1,728.93 = 633.38/x
  3. Step 3: Cross multiply
    1,153.82x = 1,728.93 × 633.38
  4. Step 4: Simplify right side
    1,153.82x = 1,095,069.68
  5. Step 5: Solve for x
    x = 1,095,069.68/1,153.82
  6. Step 6: Final answer
    x = 949.08

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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.