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Finding the Fourth Proportional to 1,143.02, 1,713.30 and 484.76

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Solution

The fourth proportional to 1,143.02, 1,713.30 and 484.76 is: 726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.02 : 1,713.30 = 484.76 : x
  2. Step 2: Convert to fraction form
    1,143.02/1,713.30 = 484.76/x
  3. Step 3: Cross multiply
    1,143.02x = 1,713.30 × 484.76
  4. Step 4: Simplify right side
    1,143.02x = 830,530.74
  5. Step 5: Solve for x
    x = 830,530.74/1,143.02
  6. Step 6: Final answer
    x = 726.61

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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.