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Finding the Fourth Proportional to 1,209.56, 1,814.13 and 479.35

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Solution

The fourth proportional to 1,209.56, 1,814.13 and 479.35 is: 718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.56 : 1,814.13 = 479.35 : x
  2. Step 2: Convert to fraction form
    1,209.56/1,814.13 = 479.35/x
  3. Step 3: Cross multiply
    1,209.56x = 1,814.13 × 479.35
  4. Step 4: Simplify right side
    1,209.56x = 869,603.22
  5. Step 5: Solve for x
    x = 869,603.22/1,209.56
  6. Step 6: Final answer
    x = 718.94

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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.