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Finding the Fourth Proportional to 1,120.99, 1,681.49 and 351.49

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Solution

The fourth proportional to 1,120.99, 1,681.49 and 351.49 is: 527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.99 : 1,681.49 = 351.49 : x
  2. Step 2: Convert to fraction form
    1,120.99/1,681.49 = 351.49/x
  3. Step 3: Cross multiply
    1,120.99x = 1,681.49 × 351.49
  4. Step 4: Simplify right side
    1,120.99x = 591,029.99
  5. Step 5: Solve for x
    x = 591,029.99/1,120.99
  6. Step 6: Final answer
    x = 527.24

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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.