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Finding the Fourth Proportional to 1,038.96, 1,558.46 and 308.59

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Solution

The fourth proportional to 1,038.96, 1,558.46 and 308.59 is: 462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.96 : 1,558.46 = 308.59 : x
  2. Step 2: Convert to fraction form
    1,038.96/1,558.46 = 308.59/x
  3. Step 3: Cross multiply
    1,038.96x = 1,558.46 × 308.59
  4. Step 4: Simplify right side
    1,038.96x = 480,922.05
  5. Step 5: Solve for x
    x = 480,922.05/1,038.96
  6. Step 6: Final answer
    x = 462.89

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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.