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Finding the Fourth Proportional to 1,086.89, 1,630.39 and 356.47

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Solution

The fourth proportional to 1,086.89, 1,630.39 and 356.47 is: 534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.89 : 1,630.39 = 356.47 : x
  2. Step 2: Convert to fraction form
    1,086.89/1,630.39 = 356.47/x
  3. Step 3: Cross multiply
    1,086.89x = 1,630.39 × 356.47
  4. Step 4: Simplify right side
    1,086.89x = 581,176.08
  5. Step 5: Solve for x
    x = 581,176.08/1,086.89
  6. Step 6: Final answer
    x = 534.71

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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.