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Finding the Fourth Proportional to 851.12, 1,275.05 and 411.07

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Solution

The fourth proportional to 851.12, 1,275.05 and 411.07 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.12 : 1,275.05 = 411.07 : x
  2. Step 2: Convert to fraction form
    851.12/1,275.05 = 411.07/x
  3. Step 3: Cross multiply
    851.12x = 1,275.05 × 411.07
  4. Step 4: Simplify right side
    851.12x = 524,134.80
  5. Step 5: Solve for x
    x = 524,134.80/851.12
  6. Step 6: Final answer
    x = 615.82

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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.