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Finding the Fourth Proportional to 1,304.91, 1,957.16 and 483.00

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Solution

The fourth proportional to 1,304.91, 1,957.16 and 483.00 is: 724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.91 : 1,957.16 = 483.00 : x
  2. Step 2: Convert to fraction form
    1,304.91/1,957.16 = 483.00/x
  3. Step 3: Cross multiply
    1,304.91x = 1,957.16 × 483.00
  4. Step 4: Simplify right side
    1,304.91x = 945,296.08
  5. Step 5: Solve for x
    x = 945,296.08/1,304.91
  6. Step 6: Final answer
    x = 724.41

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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.