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Finding the Fourth Proportional to 1,151.98, 1,727.91 and 632.99

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Solution

The fourth proportional to 1,151.98, 1,727.91 and 632.99 is: 949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.98 : 1,727.91 = 632.99 : x
  2. Step 2: Convert to fraction form
    1,151.98/1,727.91 = 632.99/x
  3. Step 3: Cross multiply
    1,151.98x = 1,727.91 × 632.99
  4. Step 4: Simplify right side
    1,151.98x = 1,093,754.07
  5. Step 5: Solve for x
    x = 1,093,754.07/1,151.98
  6. Step 6: Final answer
    x = 949.46

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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.