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Finding the Fourth Proportional to 1,153.85, 1,733.81 and 634.23

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Solution

The fourth proportional to 1,153.85, 1,733.81 and 634.23 is: 953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,733.81 = 634.23 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,733.81 = 634.23/x
  3. Step 3: Cross multiply
    1,153.85x = 1,733.81 × 634.23
  4. Step 4: Simplify right side
    1,153.85x = 1,099,631.15
  5. Step 5: Solve for x
    x = 1,099,631.15/1,153.85
  6. Step 6: Final answer
    x = 953.01

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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.