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Finding the Fourth Proportional to 1,152.83, 1,728.69 and 372.68

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Solution

The fourth proportional to 1,152.83, 1,728.69 and 372.68 is: 558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 1,728.69 = 372.68 : x
  2. Step 2: Convert to fraction form
    1,152.83/1,728.69 = 372.68/x
  3. Step 3: Cross multiply
    1,152.83x = 1,728.69 × 372.68
  4. Step 4: Simplify right side
    1,152.83x = 644,239.55
  5. Step 5: Solve for x
    x = 644,239.55/1,152.83
  6. Step 6: Final answer
    x = 558.84

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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.