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Finding the Fourth Proportional to 1,044.42, 1,566.36 and 495.51

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Solution

The fourth proportional to 1,044.42, 1,566.36 and 495.51 is: 743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.42 : 1,566.36 = 495.51 : x
  2. Step 2: Convert to fraction form
    1,044.42/1,566.36 = 495.51/x
  3. Step 3: Cross multiply
    1,044.42x = 1,566.36 × 495.51
  4. Step 4: Simplify right side
    1,044.42x = 776,147.04
  5. Step 5: Solve for x
    x = 776,147.04/1,044.42
  6. Step 6: Final answer
    x = 743.14

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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.