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Finding the Fourth Proportional to 1,101.29, 1,652.09 and 407.87

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Solution

The fourth proportional to 1,101.29, 1,652.09 and 407.87 is: 611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.29 : 1,652.09 = 407.87 : x
  2. Step 2: Convert to fraction form
    1,101.29/1,652.09 = 407.87/x
  3. Step 3: Cross multiply
    1,101.29x = 1,652.09 × 407.87
  4. Step 4: Simplify right side
    1,101.29x = 673,837.95
  5. Step 5: Solve for x
    x = 673,837.95/1,101.29
  6. Step 6: Final answer
    x = 611.86

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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.