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Finding the Fourth Proportional to 1,209.79, 1,814.55 and 332.36

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Solution

The fourth proportional to 1,209.79, 1,814.55 and 332.36 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.79 : 1,814.55 = 332.36 : x
  2. Step 2: Convert to fraction form
    1,209.79/1,814.55 = 332.36/x
  3. Step 3: Cross multiply
    1,209.79x = 1,814.55 × 332.36
  4. Step 4: Simplify right side
    1,209.79x = 603,081.57
  5. Step 5: Solve for x
    x = 603,081.57/1,209.79
  6. Step 6: Final answer
    x = 498.50

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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.