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Finding the Fourth Proportional to 913.86, 1,262.05 and 582.44

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Solution

The fourth proportional to 913.86, 1,262.05 and 582.44 is: 804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,262.05 = 582.44 : x
  2. Step 2: Convert to fraction form
    913.86/1,262.05 = 582.44/x
  3. Step 3: Cross multiply
    913.86x = 1,262.05 × 582.44
  4. Step 4: Simplify right side
    913.86x = 735,060.64
  5. Step 5: Solve for x
    x = 735,060.64/913.86
  6. Step 6: Final answer
    x = 804.35

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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.