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Finding the Fourth Proportional to 841.61, 1,262.62 and 495.23

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Solution

The fourth proportional to 841.61, 1,262.62 and 495.23 is: 742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.61 : 1,262.62 = 495.23 : x
  2. Step 2: Convert to fraction form
    841.61/1,262.62 = 495.23/x
  3. Step 3: Cross multiply
    841.61x = 1,262.62 × 495.23
  4. Step 4: Simplify right side
    841.61x = 625,288.71
  5. Step 5: Solve for x
    x = 625,288.71/841.61
  6. Step 6: Final answer
    x = 742.97

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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.