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Finding the Fourth Proportional to 1,297.04, 1,946.44 and 527.68

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Solution

The fourth proportional to 1,297.04, 1,946.44 and 527.68 is: 791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.04 : 1,946.44 = 527.68 : x
  2. Step 2: Convert to fraction form
    1,297.04/1,946.44 = 527.68/x
  3. Step 3: Cross multiply
    1,297.04x = 1,946.44 × 527.68
  4. Step 4: Simplify right side
    1,297.04x = 1,027,097.46
  5. Step 5: Solve for x
    x = 1,027,097.46/1,297.04
  6. Step 6: Final answer
    x = 791.88

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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.