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Finding the Fourth Proportional to 1,226.97, 1,838.13 and 569.39

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Solution

The fourth proportional to 1,226.97, 1,838.13 and 569.39 is: 853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.97 : 1,838.13 = 569.39 : x
  2. Step 2: Convert to fraction form
    1,226.97/1,838.13 = 569.39/x
  3. Step 3: Cross multiply
    1,226.97x = 1,838.13 × 569.39
  4. Step 4: Simplify right side
    1,226.97x = 1,046,603.65
  5. Step 5: Solve for x
    x = 1,046,603.65/1,226.97
  6. Step 6: Final answer
    x = 853.00

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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.