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Finding the Fourth Proportional to 968.30, 1,454.22 and 929.16

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Solution

The fourth proportional to 968.30, 1,454.22 and 929.16 is: 1,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.30 : 1,454.22 = 929.16 : x
  2. Step 2: Convert to fraction form
    968.30/1,454.22 = 929.16/x
  3. Step 3: Cross multiply
    968.30x = 1,454.22 × 929.16
  4. Step 4: Simplify right side
    968.30x = 1,351,203.06
  5. Step 5: Solve for x
    x = 1,351,203.06/968.30
  6. Step 6: Final answer
    x = 1,395.44

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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.