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Finding the Fourth Proportional to 1,038.56, 1,557.72 and 269.12

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Solution

The fourth proportional to 1,038.56, 1,557.72 and 269.12 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.56 : 1,557.72 = 269.12 : x
  2. Step 2: Convert to fraction form
    1,038.56/1,557.72 = 269.12/x
  3. Step 3: Cross multiply
    1,038.56x = 1,557.72 × 269.12
  4. Step 4: Simplify right side
    1,038.56x = 419,213.61
  5. Step 5: Solve for x
    x = 419,213.61/1,038.56
  6. Step 6: Final answer
    x = 403.65

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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.