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Finding the Fourth Proportional to 1,209.43, 1,814.25 and 429.35

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Solution

The fourth proportional to 1,209.43, 1,814.25 and 429.35 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,814.25 = 429.35 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,814.25 = 429.35/x
  3. Step 3: Cross multiply
    1,209.43x = 1,814.25 × 429.35
  4. Step 4: Simplify right side
    1,209.43x = 778,948.24
  5. Step 5: Solve for x
    x = 778,948.24/1,209.43
  6. Step 6: Final answer
    x = 644.06

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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.