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Finding the Fourth Proportional to 1,209.13, 1,813.79 and 429.30

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Solution

The fourth proportional to 1,209.13, 1,813.79 and 429.30 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.13 : 1,813.79 = 429.30 : x
  2. Step 2: Convert to fraction form
    1,209.13/1,813.79 = 429.30/x
  3. Step 3: Cross multiply
    1,209.13x = 1,813.79 × 429.30
  4. Step 4: Simplify right side
    1,209.13x = 778,661.12
  5. Step 5: Solve for x
    x = 778,661.12/1,209.13
  6. Step 6: Final answer
    x = 643.99

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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.