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Finding the Fourth Proportional to 968.13, 1,452.60 and 420.66

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Solution

The fourth proportional to 968.13, 1,452.60 and 420.66 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.13 : 1,452.60 = 420.66 : x
  2. Step 2: Convert to fraction form
    968.13/1,452.60 = 420.66/x
  3. Step 3: Cross multiply
    968.13x = 1,452.60 × 420.66
  4. Step 4: Simplify right side
    968.13x = 611,050.72
  5. Step 5: Solve for x
    x = 611,050.72/968.13
  6. Step 6: Final answer
    x = 631.17

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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.