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Finding the Fourth Proportional to 1,115.45, 1,672.43 and 595.13

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Solution

The fourth proportional to 1,115.45, 1,672.43 and 595.13 is: 892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.45 : 1,672.43 = 595.13 : x
  2. Step 2: Convert to fraction form
    1,115.45/1,672.43 = 595.13/x
  3. Step 3: Cross multiply
    1,115.45x = 1,672.43 × 595.13
  4. Step 4: Simplify right side
    1,115.45x = 995,313.27
  5. Step 5: Solve for x
    x = 995,313.27/1,115.45
  6. Step 6: Final answer
    x = 892.30

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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.