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Finding the Fourth Proportional to 1,101.71, 1,652.52 and 408.36

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Solution

The fourth proportional to 1,101.71, 1,652.52 and 408.36 is: 612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.71 : 1,652.52 = 408.36 : x
  2. Step 2: Convert to fraction form
    1,101.71/1,652.52 = 408.36/x
  3. Step 3: Cross multiply
    1,101.71x = 1,652.52 × 408.36
  4. Step 4: Simplify right side
    1,101.71x = 674,823.07
  5. Step 5: Solve for x
    x = 674,823.07/1,101.71
  6. Step 6: Final answer
    x = 612.53

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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.