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Finding the Fourth Proportional to 1,147.93, 1,720.91 and 455.08

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Solution

The fourth proportional to 1,147.93, 1,720.91 and 455.08 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.93 : 1,720.91 = 455.08 : x
  2. Step 2: Convert to fraction form
    1,147.93/1,720.91 = 455.08/x
  3. Step 3: Cross multiply
    1,147.93x = 1,720.91 × 455.08
  4. Step 4: Simplify right side
    1,147.93x = 783,148.56
  5. Step 5: Solve for x
    x = 783,148.56/1,147.93
  6. Step 6: Final answer
    x = 682.23

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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.