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Finding the Fourth Proportional to 1,038.93, 1,558.81 and 422.68

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Solution

The fourth proportional to 1,038.93, 1,558.81 and 422.68 is: 634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.93 : 1,558.81 = 422.68 : x
  2. Step 2: Convert to fraction form
    1,038.93/1,558.81 = 422.68/x
  3. Step 3: Cross multiply
    1,038.93x = 1,558.81 × 422.68
  4. Step 4: Simplify right side
    1,038.93x = 658,878.70
  5. Step 5: Solve for x
    x = 658,878.70/1,038.93
  6. Step 6: Final answer
    x = 634.19

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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.