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Finding the Fourth Proportional to 1,168.52, 1,751.85 and 648.70

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Solution

The fourth proportional to 1,168.52, 1,751.85 and 648.70 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.52 : 1,751.85 = 648.70 : x
  2. Step 2: Convert to fraction form
    1,168.52/1,751.85 = 648.70/x
  3. Step 3: Cross multiply
    1,168.52x = 1,751.85 × 648.70
  4. Step 4: Simplify right side
    1,168.52x = 1,136,420.72
  5. Step 5: Solve for x
    x = 1,136,420.72/1,168.52
  6. Step 6: Final answer
    x = 972.53

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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.