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Finding the Fourth Proportional to 1,085.81, 1,628.73 and 355.23

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Solution

The fourth proportional to 1,085.81, 1,628.73 and 355.23 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.81 : 1,628.73 = 355.23 : x
  2. Step 2: Convert to fraction form
    1,085.81/1,628.73 = 355.23/x
  3. Step 3: Cross multiply
    1,085.81x = 1,628.73 × 355.23
  4. Step 4: Simplify right side
    1,085.81x = 578,573.76
  5. Step 5: Solve for x
    x = 578,573.76/1,085.81
  6. Step 6: Final answer
    x = 532.85

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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.