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Finding the Fourth Proportional to 968.60, 1,452.96 and 319.34

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Solution

The fourth proportional to 968.60, 1,452.96 and 319.34 is: 479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.60 : 1,452.96 = 319.34 : x
  2. Step 2: Convert to fraction form
    968.60/1,452.96 = 319.34/x
  3. Step 3: Cross multiply
    968.60x = 1,452.96 × 319.34
  4. Step 4: Simplify right side
    968.60x = 463,980.98
  5. Step 5: Solve for x
    x = 463,980.98/968.60
  6. Step 6: Final answer
    x = 479.02

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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.