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Finding the Fourth Proportional to 852.89, 1,177.01 and 498.85

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Solution

The fourth proportional to 852.89, 1,177.01 and 498.85 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.89 : 1,177.01 = 498.85 : x
  2. Step 2: Convert to fraction form
    852.89/1,177.01 = 498.85/x
  3. Step 3: Cross multiply
    852.89x = 1,177.01 × 498.85
  4. Step 4: Simplify right side
    852.89x = 587,144.31
  5. Step 5: Solve for x
    x = 587,144.31/852.89
  6. Step 6: Final answer
    x = 688.42

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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.