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Finding the Fourth Proportional to 1,038.68, 1,558.08 and 269.18

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Solution

The fourth proportional to 1,038.68, 1,558.08 and 269.18 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.68 : 1,558.08 = 269.18 : x
  2. Step 2: Convert to fraction form
    1,038.68/1,558.08 = 269.18/x
  3. Step 3: Cross multiply
    1,038.68x = 1,558.08 × 269.18
  4. Step 4: Simplify right side
    1,038.68x = 419,403.97
  5. Step 5: Solve for x
    x = 419,403.97/1,038.68
  6. Step 6: Final answer
    x = 403.79

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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.