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Finding the Fourth Proportional to 1,208.61, 1,814.00 and 559.71

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Solution

The fourth proportional to 1,208.61, 1,814.00 and 559.71 is: 840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.61 : 1,814.00 = 559.71 : x
  2. Step 2: Convert to fraction form
    1,208.61/1,814.00 = 559.71/x
  3. Step 3: Cross multiply
    1,208.61x = 1,814.00 × 559.71
  4. Step 4: Simplify right side
    1,208.61x = 1,015,311.14
  5. Step 5: Solve for x
    x = 1,015,311.14/1,208.61
  6. Step 6: Final answer
    x = 840.07

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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.