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Finding the Fourth Proportional to 1,535.51, 2,302.74 and 495.27

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Solution

The fourth proportional to 1,535.51, 2,302.74 and 495.27 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.51 : 2,302.74 = 495.27 : x
  2. Step 2: Convert to fraction form
    1,535.51/2,302.74 = 495.27/x
  3. Step 3: Cross multiply
    1,535.51x = 2,302.74 × 495.27
  4. Step 4: Simplify right side
    1,535.51x = 1,140,478.04
  5. Step 5: Solve for x
    x = 1,140,478.04/1,535.51
  6. Step 6: Final answer
    x = 742.73

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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.