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Finding the Fourth Proportional to 852.45, 1,176.45 and 493.66

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Solution

The fourth proportional to 852.45, 1,176.45 and 493.66 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.45 : 1,176.45 = 493.66 : x
  2. Step 2: Convert to fraction form
    852.45/1,176.45 = 493.66/x
  3. Step 3: Cross multiply
    852.45x = 1,176.45 × 493.66
  4. Step 4: Simplify right side
    852.45x = 580,767.31
  5. Step 5: Solve for x
    x = 580,767.31/852.45
  6. Step 6: Final answer
    x = 681.29

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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.