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Finding the Fourth Proportional to 968.96, 1,452.70 and 482.35

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Solution

The fourth proportional to 968.96, 1,452.70 and 482.35 is: 723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.96 : 1,452.70 = 482.35 : x
  2. Step 2: Convert to fraction form
    968.96/1,452.70 = 482.35/x
  3. Step 3: Cross multiply
    968.96x = 1,452.70 × 482.35
  4. Step 4: Simplify right side
    968.96x = 700,709.85
  5. Step 5: Solve for x
    x = 700,709.85/968.96
  6. Step 6: Final answer
    x = 723.16

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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.