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Finding the Fourth Proportional to 1,085.96, 1,629.48 and 355.70

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Solution

The fourth proportional to 1,085.96, 1,629.48 and 355.70 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.96 : 1,629.48 = 355.70 : x
  2. Step 2: Convert to fraction form
    1,085.96/1,629.48 = 355.70/x
  3. Step 3: Cross multiply
    1,085.96x = 1,629.48 × 355.70
  4. Step 4: Simplify right side
    1,085.96x = 579,606.04
  5. Step 5: Solve for x
    x = 579,606.04/1,085.96
  6. Step 6: Final answer
    x = 533.73

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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.