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Finding the Fourth Proportional to 637.65, 881.63 and 582.29

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Solution

The fourth proportional to 637.65, 881.63 and 582.29 is: 805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.65 : 881.63 = 582.29 : x
  2. Step 2: Convert to fraction form
    637.65/881.63 = 582.29/x
  3. Step 3: Cross multiply
    637.65x = 881.63 × 582.29
  4. Step 4: Simplify right side
    637.65x = 513,365.78
  5. Step 5: Solve for x
    x = 513,365.78/637.65
  6. Step 6: Final answer
    x = 805.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.