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Finding the Fourth Proportional to 1,085.68, 1,628.23 and 305.64

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Solution

The fourth proportional to 1,085.68, 1,628.23 and 305.64 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.68 : 1,628.23 = 305.64 : x
  2. Step 2: Convert to fraction form
    1,085.68/1,628.23 = 305.64/x
  3. Step 3: Cross multiply
    1,085.68x = 1,628.23 × 305.64
  4. Step 4: Simplify right side
    1,085.68x = 497,644.08
  5. Step 5: Solve for x
    x = 497,644.08/1,085.68
  6. Step 6: Final answer
    x = 458.37

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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.