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Finding the Fourth Proportional to 973.62, 1,449.50 and 968.76

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Solution

The fourth proportional to 973.62, 1,449.50 and 968.76 is: 1,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.62 : 1,449.50 = 968.76 : x
  2. Step 2: Convert to fraction form
    973.62/1,449.50 = 968.76/x
  3. Step 3: Cross multiply
    973.62x = 1,449.50 × 968.76
  4. Step 4: Simplify right side
    973.62x = 1,404,212.78
  5. Step 5: Solve for x
    x = 1,404,212.78/973.62
  6. Step 6: Final answer
    x = 1,442.26

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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.