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Finding the Fourth Proportional to 1,078.74, 1,617.93 and 385.31

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Solution

The fourth proportional to 1,078.74, 1,617.93 and 385.31 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.74 : 1,617.93 = 385.31 : x
  2. Step 2: Convert to fraction form
    1,078.74/1,617.93 = 385.31/x
  3. Step 3: Cross multiply
    1,078.74x = 1,617.93 × 385.31
  4. Step 4: Simplify right side
    1,078.74x = 623,408.65
  5. Step 5: Solve for x
    x = 623,408.65/1,078.74
  6. Step 6: Final answer
    x = 577.90

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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.