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Finding the Fourth Proportional to 851.07, 1,275.52 and 461.05

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Solution

The fourth proportional to 851.07, 1,275.52 and 461.05 is: 690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,275.52 = 461.05 : x
  2. Step 2: Convert to fraction form
    851.07/1,275.52 = 461.05/x
  3. Step 3: Cross multiply
    851.07x = 1,275.52 × 461.05
  4. Step 4: Simplify right side
    851.07x = 588,078.50
  5. Step 5: Solve for x
    x = 588,078.50/851.07
  6. Step 6: Final answer
    x = 690.99

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Double scale
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1.5x scale

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.