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Finding the Fourth Proportional to 1,101.09, 1,519.50 and 603.71

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Solution

The fourth proportional to 1,101.09, 1,519.50 and 603.71 is: 833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.09 : 1,519.50 = 603.71 : x
  2. Step 2: Convert to fraction form
    1,101.09/1,519.50 = 603.71/x
  3. Step 3: Cross multiply
    1,101.09x = 1,519.50 × 603.71
  4. Step 4: Simplify right side
    1,101.09x = 917,340.30
  5. Step 5: Solve for x
    x = 917,340.30/1,101.09
  6. Step 6: Final answer
    x = 833.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.