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Finding the Fourth Proportional to 1,043.51, 1,564.70 and 495.81

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Solution

The fourth proportional to 1,043.51, 1,564.70 and 495.81 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.51 : 1,564.70 = 495.81 : x
  2. Step 2: Convert to fraction form
    1,043.51/1,564.70 = 495.81/x
  3. Step 3: Cross multiply
    1,043.51x = 1,564.70 × 495.81
  4. Step 4: Simplify right side
    1,043.51x = 775,791.43
  5. Step 5: Solve for x
    x = 775,791.43/1,043.51
  6. Step 6: Final answer
    x = 743.45

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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.