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Finding the Fourth Proportional to 1,165.43, 1,747.63 and 617.49

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Solution

The fourth proportional to 1,165.43, 1,747.63 and 617.49 is: 925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.43 : 1,747.63 = 617.49 : x
  2. Step 2: Convert to fraction form
    1,165.43/1,747.63 = 617.49/x
  3. Step 3: Cross multiply
    1,165.43x = 1,747.63 × 617.49
  4. Step 4: Simplify right side
    1,165.43x = 1,079,141.64
  5. Step 5: Solve for x
    x = 1,079,141.64/1,165.43
  6. Step 6: Final answer
    x = 925.96

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1.5x scale

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.