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Finding the Fourth Proportional to 1,197.24, 1,796.31 and 417.30

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Solution

The fourth proportional to 1,197.24, 1,796.31 and 417.30 is: 626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.24 : 1,796.31 = 417.30 : x
  2. Step 2: Convert to fraction form
    1,197.24/1,796.31 = 417.30/x
  3. Step 3: Cross multiply
    1,197.24x = 1,796.31 × 417.30
  4. Step 4: Simplify right side
    1,197.24x = 749,600.16
  5. Step 5: Solve for x
    x = 749,600.16/1,197.24
  6. Step 6: Final answer
    x = 626.11

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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.