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Finding the Fourth Proportional to 1,101.54, 1,652.48 and 409.19

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Solution

The fourth proportional to 1,101.54, 1,652.48 and 409.19 is: 613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.54 : 1,652.48 = 409.19 : x
  2. Step 2: Convert to fraction form
    1,101.54/1,652.48 = 409.19/x
  3. Step 3: Cross multiply
    1,101.54x = 1,652.48 × 409.19
  4. Step 4: Simplify right side
    1,101.54x = 676,167.98
  5. Step 5: Solve for x
    x = 676,167.98/1,101.54
  6. Step 6: Final answer
    x = 613.84

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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.