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Finding the Fourth Proportional to 1,168.34, 1,753.52 and 648.86

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Solution

The fourth proportional to 1,168.34, 1,753.52 and 648.86 is: 973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.34 : 1,753.52 = 648.86 : x
  2. Step 2: Convert to fraction form
    1,168.34/1,753.52 = 648.86/x
  3. Step 3: Cross multiply
    1,168.34x = 1,753.52 × 648.86
  4. Step 4: Simplify right side
    1,168.34x = 1,137,776.98
  5. Step 5: Solve for x
    x = 1,137,776.98/1,168.34
  6. Step 6: Final answer
    x = 973.84

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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.