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Finding the Fourth Proportional to 852.85, 1,176.80 and 498.72

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Solution

The fourth proportional to 852.85, 1,176.80 and 498.72 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.85 : 1,176.80 = 498.72 : x
  2. Step 2: Convert to fraction form
    852.85/1,176.80 = 498.72/x
  3. Step 3: Cross multiply
    852.85x = 1,176.80 × 498.72
  4. Step 4: Simplify right side
    852.85x = 586,894.86
  5. Step 5: Solve for x
    x = 586,894.86/852.85
  6. Step 6: Final answer
    x = 688.15

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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.