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Finding the Fourth Proportional to 1,209.02, 1,813.75 and 387.50

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Solution

The fourth proportional to 1,209.02, 1,813.75 and 387.50 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,813.75 = 387.50 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,813.75 = 387.50/x
  3. Step 3: Cross multiply
    1,209.02x = 1,813.75 × 387.50
  4. Step 4: Simplify right side
    1,209.02x = 702,818.09
  5. Step 5: Solve for x
    x = 702,818.09/1,209.02
  6. Step 6: Final answer
    x = 581.31

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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.