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Finding the Fourth Proportional to 906.93, 1,359.45 and 495.63

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Solution

The fourth proportional to 906.93, 1,359.45 and 495.63 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.93 : 1,359.45 = 495.63 : x
  2. Step 2: Convert to fraction form
    906.93/1,359.45 = 495.63/x
  3. Step 3: Cross multiply
    906.93x = 1,359.45 × 495.63
  4. Step 4: Simplify right side
    906.93x = 673,784.20
  5. Step 5: Solve for x
    x = 673,784.20/906.93
  6. Step 6: Final answer
    x = 742.93

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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.