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Finding the Fourth Proportional to 1,208.24, 1,813.17 and 559.02

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Solution

The fourth proportional to 1,208.24, 1,813.17 and 559.02 is: 838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.24 : 1,813.17 = 559.02 : x
  2. Step 2: Convert to fraction form
    1,208.24/1,813.17 = 559.02/x
  3. Step 3: Cross multiply
    1,208.24x = 1,813.17 × 559.02
  4. Step 4: Simplify right side
    1,208.24x = 1,013,598.29
  5. Step 5: Solve for x
    x = 1,013,598.29/1,208.24
  6. Step 6: Final answer
    x = 838.91

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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.