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Finding the Fourth Proportional to 1,209.71, 1,814.16 and 429.68

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Solution

The fourth proportional to 1,209.71, 1,814.16 and 429.68 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.71 : 1,814.16 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,209.71/1,814.16 = 429.68/x
  3. Step 3: Cross multiply
    1,209.71x = 1,814.16 × 429.68
  4. Step 4: Simplify right side
    1,209.71x = 779,508.27
  5. Step 5: Solve for x
    x = 779,508.27/1,209.71
  6. Step 6: Final answer
    x = 644.38

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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.