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Finding the Fourth Proportional to 1,197.47, 1,796.34 and 417.38

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Solution

The fourth proportional to 1,197.47, 1,796.34 and 417.38 is: 626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.47 : 1,796.34 = 417.38 : x
  2. Step 2: Convert to fraction form
    1,197.47/1,796.34 = 417.38/x
  3. Step 3: Cross multiply
    1,197.47x = 1,796.34 × 417.38
  4. Step 4: Simplify right side
    1,197.47x = 749,756.39
  5. Step 5: Solve for x
    x = 749,756.39/1,197.47
  6. Step 6: Final answer
    x = 626.12

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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.