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Finding the Fourth Proportional to 1,038.89, 1,558.67 and 422.93

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Solution

The fourth proportional to 1,038.89, 1,558.67 and 422.93 is: 634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.89 : 1,558.67 = 422.93 : x
  2. Step 2: Convert to fraction form
    1,038.89/1,558.67 = 422.93/x
  3. Step 3: Cross multiply
    1,038.89x = 1,558.67 × 422.93
  4. Step 4: Simplify right side
    1,038.89x = 659,210.09
  5. Step 5: Solve for x
    x = 659,210.09/1,038.89
  6. Step 6: Final answer
    x = 634.53

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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.