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Finding the Fourth Proportional to 1,085.86, 1,628.61 and 355.42

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Solution

The fourth proportional to 1,085.86, 1,628.61 and 355.42 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.86 : 1,628.61 = 355.42 : x
  2. Step 2: Convert to fraction form
    1,085.86/1,628.61 = 355.42/x
  3. Step 3: Cross multiply
    1,085.86x = 1,628.61 × 355.42
  4. Step 4: Simplify right side
    1,085.86x = 578,840.57
  5. Step 5: Solve for x
    x = 578,840.57/1,085.86
  6. Step 6: Final answer
    x = 533.07

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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.