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Finding the Fourth Proportional to 1,038.97, 1,558 and 308.35

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Solution

The fourth proportional to 1,038.97, 1,558 and 308.35 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.97 : 1,558 = 308.35 : x
  2. Step 2: Convert to fraction form
    1,038.97/1,558 = 308.35/x
  3. Step 3: Cross multiply
    1,038.97x = 1,558 × 308.35
  4. Step 4: Simplify right side
    1,038.97x = 480,409.30
  5. Step 5: Solve for x
    x = 480,409.30/1,038.97
  6. Step 6: Final answer
    x = 462.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.