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Finding the Fourth Proportional to 967.41, 1,334.96 and 569.01

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Solution

The fourth proportional to 967.41, 1,334.96 and 569.01 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.41 : 1,334.96 = 569.01 : x
  2. Step 2: Convert to fraction form
    967.41/1,334.96 = 569.01/x
  3. Step 3: Cross multiply
    967.41x = 1,334.96 × 569.01
  4. Step 4: Simplify right side
    967.41x = 759,605.59
  5. Step 5: Solve for x
    x = 759,605.59/967.41
  6. Step 6: Final answer
    x = 785.20

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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.