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Finding the Fourth Proportional to 967.12, 1,448.16 and 533.68

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Solution

The fourth proportional to 967.12, 1,448.16 and 533.68 is: 799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,448.16 = 533.68 : x
  2. Step 2: Convert to fraction form
    967.12/1,448.16 = 533.68/x
  3. Step 3: Cross multiply
    967.12x = 1,448.16 × 533.68
  4. Step 4: Simplify right side
    967.12x = 772,854.03
  5. Step 5: Solve for x
    x = 772,854.03/967.12
  6. Step 6: Final answer
    x = 799.13

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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.