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Finding the Fourth Proportional to 852.07, 1,276.87 and 461.74

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Solution

The fourth proportional to 852.07, 1,276.87 and 461.74 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.07 : 1,276.87 = 461.74 : x
  2. Step 2: Convert to fraction form
    852.07/1,276.87 = 461.74/x
  3. Step 3: Cross multiply
    852.07x = 1,276.87 × 461.74
  4. Step 4: Simplify right side
    852.07x = 589,581.95
  5. Step 5: Solve for x
    x = 589,581.95/852.07
  6. Step 6: Final answer
    x = 691.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.