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Finding the Fourth Proportional to 1,153.95, 1,730.91 and 423.51

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Solution

The fourth proportional to 1,153.95, 1,730.91 and 423.51 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.95 : 1,730.91 = 423.51 : x
  2. Step 2: Convert to fraction form
    1,153.95/1,730.91 = 423.51/x
  3. Step 3: Cross multiply
    1,153.95x = 1,730.91 × 423.51
  4. Step 4: Simplify right side
    1,153.95x = 733,057.69
  5. Step 5: Solve for x
    x = 733,057.69/1,153.95
  6. Step 6: Final answer
    x = 635.26

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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.