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Finding the Fourth Proportional to 1,086.39, 1,629.48 and 355.77

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Solution

The fourth proportional to 1,086.39, 1,629.48 and 355.77 is: 533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.39 : 1,629.48 = 355.77 : x
  2. Step 2: Convert to fraction form
    1,086.39/1,629.48 = 355.77/x
  3. Step 3: Cross multiply
    1,086.39x = 1,629.48 × 355.77
  4. Step 4: Simplify right side
    1,086.39x = 579,720.10
  5. Step 5: Solve for x
    x = 579,720.10/1,086.39
  6. Step 6: Final answer
    x = 533.62

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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.