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Finding the Fourth Proportional to 1,134.12, 1,564.74 and 668.04

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Solution

The fourth proportional to 1,134.12, 1,564.74 and 668.04 is: 921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.12 : 1,564.74 = 668.04 : x
  2. Step 2: Convert to fraction form
    1,134.12/1,564.74 = 668.04/x
  3. Step 3: Cross multiply
    1,134.12x = 1,564.74 × 668.04
  4. Step 4: Simplify right side
    1,134.12x = 1,045,308.91
  5. Step 5: Solve for x
    x = 1,045,308.91/1,134.12
  6. Step 6: Final answer
    x = 921.69

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