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Finding the Fourth Proportional to 1,624.33, 2,434.41 and 698.77

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Solution

The fourth proportional to 1,624.33, 2,434.41 and 698.77 is: 1,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.33 : 2,434.41 = 698.77 : x
  2. Step 2: Convert to fraction form
    1,624.33/2,434.41 = 698.77/x
  3. Step 3: Cross multiply
    1,624.33x = 2,434.41 × 698.77
  4. Step 4: Simplify right side
    1,624.33x = 1,701,092.68
  5. Step 5: Solve for x
    x = 1,701,092.68/1,624.33
  6. Step 6: Final answer
    x = 1,047.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.