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Finding the Fourth Proportional to 852.11, 1,176.04 and 498.24

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Solution

The fourth proportional to 852.11, 1,176.04 and 498.24 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.11 : 1,176.04 = 498.24 : x
  2. Step 2: Convert to fraction form
    852.11/1,176.04 = 498.24/x
  3. Step 3: Cross multiply
    852.11x = 1,176.04 × 498.24
  4. Step 4: Simplify right side
    852.11x = 585,950.79
  5. Step 5: Solve for x
    x = 585,950.79/852.11
  6. Step 6: Final answer
    x = 687.65

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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.