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Finding the Fourth Proportional to 1,043.38, 1,565.42 and 495.51

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Solution

The fourth proportional to 1,043.38, 1,565.42 and 495.51 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.38 : 1,565.42 = 495.51 : x
  2. Step 2: Convert to fraction form
    1,043.38/1,565.42 = 495.51/x
  3. Step 3: Cross multiply
    1,043.38x = 1,565.42 × 495.51
  4. Step 4: Simplify right side
    1,043.38x = 775,681.26
  5. Step 5: Solve for x
    x = 775,681.26/1,043.38
  6. Step 6: Final answer
    x = 743.43

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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.