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Finding the Fourth Proportional to 1,165.40, 1,608.34 and 641.46

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Solution

The fourth proportional to 1,165.40, 1,608.34 and 641.46 is: 885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.40 : 1,608.34 = 641.46 : x
  2. Step 2: Convert to fraction form
    1,165.40/1,608.34 = 641.46/x
  3. Step 3: Cross multiply
    1,165.40x = 1,608.34 × 641.46
  4. Step 4: Simplify right side
    1,165.40x = 1,031,685.78
  5. Step 5: Solve for x
    x = 1,031,685.78/1,165.40
  6. Step 6: Final answer
    x = 885.26

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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.