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Finding the Fourth Proportional to 967.02, 1,334.54 and 568.80

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Solution

The fourth proportional to 967.02, 1,334.54 and 568.80 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,334.54 = 568.80 : x
  2. Step 2: Convert to fraction form
    967.02/1,334.54 = 568.80/x
  3. Step 3: Cross multiply
    967.02x = 1,334.54 × 568.80
  4. Step 4: Simplify right side
    967.02x = 759,083.51
  5. Step 5: Solve for x
    x = 759,083.51/967.02
  6. Step 6: Final answer
    x = 784.97

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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.