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Finding the Fourth Proportional to 913.33, 1,262.07 and 650.89

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Solution

The fourth proportional to 913.33, 1,262.07 and 650.89 is: 899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.33 : 1,262.07 = 650.89 : x
  2. Step 2: Convert to fraction form
    913.33/1,262.07 = 650.89/x
  3. Step 3: Cross multiply
    913.33x = 1,262.07 × 650.89
  4. Step 4: Simplify right side
    913.33x = 821,465.49
  5. Step 5: Solve for x
    x = 821,465.49/913.33
  6. Step 6: Final answer
    x = 899.42

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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.