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Finding the Fourth Proportional to 965.88, 1,450.58 and 601.38

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Solution

The fourth proportional to 965.88, 1,450.58 and 601.38 is: 903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.88 : 1,450.58 = 601.38 : x
  2. Step 2: Convert to fraction form
    965.88/1,450.58 = 601.38/x
  3. Step 3: Cross multiply
    965.88x = 1,450.58 × 601.38
  4. Step 4: Simplify right side
    965.88x = 872,346.79
  5. Step 5: Solve for x
    x = 872,346.79/965.88
  6. Step 6: Final answer
    x = 903.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.