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Finding the Fourth Proportional to 1,364.57, 2,045.24 and 633.29

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Solution

The fourth proportional to 1,364.57, 2,045.24 and 633.29 is: 949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.57 : 2,045.24 = 633.29 : x
  2. Step 2: Convert to fraction form
    1,364.57/2,045.24 = 633.29/x
  3. Step 3: Cross multiply
    1,364.57x = 2,045.24 × 633.29
  4. Step 4: Simplify right side
    1,364.57x = 1,295,216.65
  5. Step 5: Solve for x
    x = 1,295,216.65/1,364.57
  6. Step 6: Final answer
    x = 949.18

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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.