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Finding the Fourth Proportional to 1,209.75, 1,814.67 and 332.19

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Solution

The fourth proportional to 1,209.75, 1,814.67 and 332.19 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.75 : 1,814.67 = 332.19 : x
  2. Step 2: Convert to fraction form
    1,209.75/1,814.67 = 332.19/x
  3. Step 3: Cross multiply
    1,209.75x = 1,814.67 × 332.19
  4. Step 4: Simplify right side
    1,209.75x = 602,815.23
  5. Step 5: Solve for x
    x = 602,815.23/1,209.75
  6. Step 6: Final answer
    x = 498.30

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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.