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Finding the Fourth Proportional to 1,297.72, 1,946.60 and 432.03

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Solution

The fourth proportional to 1,297.72, 1,946.60 and 432.03 is: 648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.72 : 1,946.60 = 432.03 : x
  2. Step 2: Convert to fraction form
    1,297.72/1,946.60 = 432.03/x
  3. Step 3: Cross multiply
    1,297.72x = 1,946.60 × 432.03
  4. Step 4: Simplify right side
    1,297.72x = 840,989.87
  5. Step 5: Solve for x
    x = 840,989.87/1,297.72
  6. Step 6: Final answer
    x = 648.05

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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.