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Finding the Fourth Proportional to 754.19, 1,040.51 and 596.85

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Solution

The fourth proportional to 754.19, 1,040.51 and 596.85 is: 823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.19 : 1,040.51 = 596.85 : x
  2. Step 2: Convert to fraction form
    754.19/1,040.51 = 596.85/x
  3. Step 3: Cross multiply
    754.19x = 1,040.51 × 596.85
  4. Step 4: Simplify right side
    754.19x = 621,025.98
  5. Step 5: Solve for x
    x = 621,025.98/754.19
  6. Step 6: Final answer
    x = 823.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.