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Finding the Fourth Proportional to 1,165.43, 1,608.26 and 641.45

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Solution

The fourth proportional to 1,165.43, 1,608.26 and 641.45 is: 885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.43 : 1,608.26 = 641.45 : x
  2. Step 2: Convert to fraction form
    1,165.43/1,608.26 = 641.45/x
  3. Step 3: Cross multiply
    1,165.43x = 1,608.26 × 641.45
  4. Step 4: Simplify right side
    1,165.43x = 1,031,607.13
  5. Step 5: Solve for x
    x = 1,031,607.13/1,165.43
  6. Step 6: Final answer
    x = 885.18

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.