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Finding the Fourth Proportional to 1,038.82, 1,558.10 and 389.38

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Solution

The fourth proportional to 1,038.82, 1,558.10 and 389.38 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.82 : 1,558.10 = 389.38 : x
  2. Step 2: Convert to fraction form
    1,038.82/1,558.10 = 389.38/x
  3. Step 3: Cross multiply
    1,038.82x = 1,558.10 × 389.38
  4. Step 4: Simplify right side
    1,038.82x = 606,692.98
  5. Step 5: Solve for x
    x = 606,692.98/1,038.82
  6. Step 6: Final answer
    x = 584.02

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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.