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Finding the Fourth Proportional to 913.96, 1,261.80 and 582.67

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Solution

The fourth proportional to 913.96, 1,261.80 and 582.67 is: 804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.96 : 1,261.80 = 582.67 : x
  2. Step 2: Convert to fraction form
    913.96/1,261.80 = 582.67/x
  3. Step 3: Cross multiply
    913.96x = 1,261.80 × 582.67
  4. Step 4: Simplify right side
    913.96x = 735,203.78
  5. Step 5: Solve for x
    x = 735,203.78/913.96
  6. Step 6: Final answer
    x = 804.42

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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.