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Finding the Fourth Proportional to 1,085.38, 1,628.27 and 355.00

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Solution

The fourth proportional to 1,085.38, 1,628.27 and 355.00 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.38 : 1,628.27 = 355.00 : x
  2. Step 2: Convert to fraction form
    1,085.38/1,628.27 = 355.00/x
  3. Step 3: Cross multiply
    1,085.38x = 1,628.27 × 355.00
  4. Step 4: Simplify right side
    1,085.38x = 578,028.15
  5. Step 5: Solve for x
    x = 578,028.15/1,085.38
  6. Step 6: Final answer
    x = 532.56

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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.