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Finding the Fourth Proportional to 960.60, 1,438.13 and 564.08

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Solution

The fourth proportional to 960.60, 1,438.13 and 564.08 is: 844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.60 : 1,438.13 = 564.08 : x
  2. Step 2: Convert to fraction form
    960.60/1,438.13 = 564.08/x
  3. Step 3: Cross multiply
    960.60x = 1,438.13 × 564.08
  4. Step 4: Simplify right side
    960.60x = 811,220.37
  5. Step 5: Solve for x
    x = 811,220.37/960.60
  6. Step 6: Final answer
    x = 844.49

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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.