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Finding the Fourth Proportional to 967.24, 1,334.81 and 568.93

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Solution

The fourth proportional to 967.24, 1,334.81 and 568.93 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,334.81 = 568.93 : x
  2. Step 2: Convert to fraction form
    967.24/1,334.81 = 568.93/x
  3. Step 3: Cross multiply
    967.24x = 1,334.81 × 568.93
  4. Step 4: Simplify right side
    967.24x = 759,410.29
  5. Step 5: Solve for x
    x = 759,410.29/967.24
  6. Step 6: Final answer
    x = 785.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.