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Finding the Fourth Proportional to 1,085.14, 1,627.53 and 305.05

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Solution

The fourth proportional to 1,085.14, 1,627.53 and 305.05 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.14 : 1,627.53 = 305.05 : x
  2. Step 2: Convert to fraction form
    1,085.14/1,627.53 = 305.05/x
  3. Step 3: Cross multiply
    1,085.14x = 1,627.53 × 305.05
  4. Step 4: Simplify right side
    1,085.14x = 496,478.03
  5. Step 5: Solve for x
    x = 496,478.03/1,085.14
  6. Step 6: Final answer
    x = 457.52

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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.