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Finding the Fourth Proportional to 1,086.15, 1,629.06 and 355.63

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Solution

The fourth proportional to 1,086.15, 1,629.06 and 355.63 is: 533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.15 : 1,629.06 = 355.63 : x
  2. Step 2: Convert to fraction form
    1,086.15/1,629.06 = 355.63/x
  3. Step 3: Cross multiply
    1,086.15x = 1,629.06 × 355.63
  4. Step 4: Simplify right side
    1,086.15x = 579,342.61
  5. Step 5: Solve for x
    x = 579,342.61/1,086.15
  6. Step 6: Final answer
    x = 533.39

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