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Finding the Fourth Proportional to 1,115.82, 1,673.06 and 385.20

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Solution

The fourth proportional to 1,115.82, 1,673.06 and 385.20 is: 577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.82 : 1,673.06 = 385.20 : x
  2. Step 2: Convert to fraction form
    1,115.82/1,673.06 = 385.20/x
  3. Step 3: Cross multiply
    1,115.82x = 1,673.06 × 385.20
  4. Step 4: Simplify right side
    1,115.82x = 644,462.71
  5. Step 5: Solve for x
    x = 644,462.71/1,115.82
  6. Step 6: Final answer
    x = 577.57

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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.