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Finding the Fourth Proportional to 1,147.99, 1,722.34 and 417.57

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Solution

The fourth proportional to 1,147.99, 1,722.34 and 417.57 is: 626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.99 : 1,722.34 = 417.57 : x
  2. Step 2: Convert to fraction form
    1,147.99/1,722.34 = 417.57/x
  3. Step 3: Cross multiply
    1,147.99x = 1,722.34 × 417.57
  4. Step 4: Simplify right side
    1,147.99x = 719,197.51
  5. Step 5: Solve for x
    x = 719,197.51/1,147.99
  6. Step 6: Final answer
    x = 626.48

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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.