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Finding the Fourth Proportional to 1,503.98, 2,255.94 and 681.66

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Solution

The fourth proportional to 1,503.98, 2,255.94 and 681.66 is: 1,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.98 : 2,255.94 = 681.66 : x
  2. Step 2: Convert to fraction form
    1,503.98/2,255.94 = 681.66/x
  3. Step 3: Cross multiply
    1,503.98x = 2,255.94 × 681.66
  4. Step 4: Simplify right side
    1,503.98x = 1,537,784.06
  5. Step 5: Solve for x
    x = 1,537,784.06/1,503.98
  6. Step 6: Final answer
    x = 1,022.47

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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.