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Finding the Fourth Proportional to 1,733.50, 2,600.25 and 693.97

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Solution

The fourth proportional to 1,733.50, 2,600.25 and 693.97 is: 1,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.50 : 2,600.25 = 693.97 : x
  2. Step 2: Convert to fraction form
    1,733.50/2,600.25 = 693.97/x
  3. Step 3: Cross multiply
    1,733.50x = 2,600.25 × 693.97
  4. Step 4: Simplify right side
    1,733.50x = 1,804,495.49
  5. Step 5: Solve for x
    x = 1,804,495.49/1,733.50
  6. Step 6: Final answer
    x = 1,040.96

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1.5x scale

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.