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Finding the Fourth Proportional to 968.53, 1,454.66 and 830.02

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Solution

The fourth proportional to 968.53, 1,454.66 and 830.02 is: 1,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.53 : 1,454.66 = 830.02 : x
  2. Step 2: Convert to fraction form
    968.53/1,454.66 = 830.02/x
  3. Step 3: Cross multiply
    968.53x = 1,454.66 × 830.02
  4. Step 4: Simplify right side
    968.53x = 1,207,396.89
  5. Step 5: Solve for x
    x = 1,207,396.89/968.53
  6. Step 6: Final answer
    x = 1,246.63

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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.