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Finding the Fourth Proportional to 1,130.48, 1,694.50 and 399.68

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Solution

The fourth proportional to 1,130.48, 1,694.50 and 399.68 is: 599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.48 : 1,694.50 = 399.68 : x
  2. Step 2: Convert to fraction form
    1,130.48/1,694.50 = 399.68/x
  3. Step 3: Cross multiply
    1,130.48x = 1,694.50 × 399.68
  4. Step 4: Simplify right side
    1,130.48x = 677,257.76
  5. Step 5: Solve for x
    x = 677,257.76/1,130.48
  6. Step 6: Final answer
    x = 599.09

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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.