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Finding the Fourth Proportional to 1,129.52, 1,694.10 and 389.24

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Solution

The fourth proportional to 1,129.52, 1,694.10 and 389.24 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.52 : 1,694.10 = 389.24 : x
  2. Step 2: Convert to fraction form
    1,129.52/1,694.10 = 389.24/x
  3. Step 3: Cross multiply
    1,129.52x = 1,694.10 × 389.24
  4. Step 4: Simplify right side
    1,129.52x = 659,417.18
  5. Step 5: Solve for x
    x = 659,417.18/1,129.52
  6. Step 6: Final answer
    x = 583.81

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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.