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Finding the Fourth Proportional to 1,156.15, 1,596.54 and 843.22

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Solution

The fourth proportional to 1,156.15, 1,596.54 and 843.22 is: 1,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.15 : 1,596.54 = 843.22 : x
  2. Step 2: Convert to fraction form
    1,156.15/1,596.54 = 843.22/x
  3. Step 3: Cross multiply
    1,156.15x = 1,596.54 × 843.22
  4. Step 4: Simplify right side
    1,156.15x = 1,346,234.46
  5. Step 5: Solve for x
    x = 1,346,234.46/1,156.15
  6. Step 6: Final answer
    x = 1,164.41

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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.