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Finding the Fourth Proportional to 969.59, 1,445.06 and 968.06

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Solution

The fourth proportional to 969.59, 1,445.06 and 968.06 is: 1,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.59 : 1,445.06 = 968.06 : x
  2. Step 2: Convert to fraction form
    969.59/1,445.06 = 968.06/x
  3. Step 3: Cross multiply
    969.59x = 1,445.06 × 968.06
  4. Step 4: Simplify right side
    969.59x = 1,398,892.72
  5. Step 5: Solve for x
    x = 1,398,892.72/969.59
  6. Step 6: Final answer
    x = 1,442.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.