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Finding the Fourth Proportional to 852.91, 1,177.13 and 498.94

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Solution

The fourth proportional to 852.91, 1,177.13 and 498.94 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.91 : 1,177.13 = 498.94 : x
  2. Step 2: Convert to fraction form
    852.91/1,177.13 = 498.94/x
  3. Step 3: Cross multiply
    852.91x = 1,177.13 × 498.94
  4. Step 4: Simplify right side
    852.91x = 587,317.24
  5. Step 5: Solve for x
    x = 587,317.24/852.91
  6. Step 6: Final answer
    x = 688.60

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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.