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Finding the Fourth Proportional to 1,143.04, 1,713.68 and 566.32

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Solution

The fourth proportional to 1,143.04, 1,713.68 and 566.32 is: 849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.04 : 1,713.68 = 566.32 : x
  2. Step 2: Convert to fraction form
    1,143.04/1,713.68 = 566.32/x
  3. Step 3: Cross multiply
    1,143.04x = 1,713.68 × 566.32
  4. Step 4: Simplify right side
    1,143.04x = 970,491.26
  5. Step 5: Solve for x
    x = 970,491.26/1,143.04
  6. Step 6: Final answer
    x = 849.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.