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Finding the Fourth Proportional to 1,209.37, 1,814.32 and 632.09

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Solution

The fourth proportional to 1,209.37, 1,814.32 and 632.09 is: 948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.37 : 1,814.32 = 632.09 : x
  2. Step 2: Convert to fraction form
    1,209.37/1,814.32 = 632.09/x
  3. Step 3: Cross multiply
    1,209.37x = 1,814.32 × 632.09
  4. Step 4: Simplify right side
    1,209.37x = 1,146,810.37
  5. Step 5: Solve for x
    x = 1,146,810.37/1,209.37
  6. Step 6: Final answer
    x = 948.27

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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.