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Finding the Fourth Proportional to 1,168.49, 1,752.37 and 648.74

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Solution

The fourth proportional to 1,168.49, 1,752.37 and 648.74 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.49 : 1,752.37 = 648.74 : x
  2. Step 2: Convert to fraction form
    1,168.49/1,752.37 = 648.74/x
  3. Step 3: Cross multiply
    1,168.49x = 1,752.37 × 648.74
  4. Step 4: Simplify right side
    1,168.49x = 1,136,835.27
  5. Step 5: Solve for x
    x = 1,136,835.27/1,168.49
  6. Step 6: Final answer
    x = 972.91

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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.