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Finding the Fourth Proportional to 1,134.96, 1,700.64 and 484.80

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Solution

The fourth proportional to 1,134.96, 1,700.64 and 484.80 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.96 : 1,700.64 = 484.80 : x
  2. Step 2: Convert to fraction form
    1,134.96/1,700.64 = 484.80/x
  3. Step 3: Cross multiply
    1,134.96x = 1,700.64 × 484.80
  4. Step 4: Simplify right side
    1,134.96x = 824,470.27
  5. Step 5: Solve for x
    x = 824,470.27/1,134.96
  6. Step 6: Final answer
    x = 726.43

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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.