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Finding the Fourth Proportional to 965.16, 1,450.58 and 899.55

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Solution

The fourth proportional to 965.16, 1,450.58 and 899.55 is: 1,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.16 : 1,450.58 = 899.55 : x
  2. Step 2: Convert to fraction form
    965.16/1,450.58 = 899.55/x
  3. Step 3: Cross multiply
    965.16x = 1,450.58 × 899.55
  4. Step 4: Simplify right side
    965.16x = 1,304,864.74
  5. Step 5: Solve for x
    x = 1,304,864.74/965.16
  6. Step 6: Final answer
    x = 1,351.97

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Why These Related Problems?

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