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Finding the Fourth Proportional to 1,085.94, 1,627.76 and 469.94

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Solution

The fourth proportional to 1,085.94, 1,627.76 and 469.94 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.94 : 1,627.76 = 469.94 : x
  2. Step 2: Convert to fraction form
    1,085.94/1,627.76 = 469.94/x
  3. Step 3: Cross multiply
    1,085.94x = 1,627.76 × 469.94
  4. Step 4: Simplify right side
    1,085.94x = 764,939.05
  5. Step 5: Solve for x
    x = 764,939.05/1,085.94
  6. Step 6: Final answer
    x = 704.40

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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.