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Finding the Fourth Proportional to 1,152.85, 1,727.20 and 740.96

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Solution

The fourth proportional to 1,152.85, 1,727.20 and 740.96 is: 1,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.85 : 1,727.20 = 740.96 : x
  2. Step 2: Convert to fraction form
    1,152.85/1,727.20 = 740.96/x
  3. Step 3: Cross multiply
    1,152.85x = 1,727.20 × 740.96
  4. Step 4: Simplify right side
    1,152.85x = 1,279,782.41
  5. Step 5: Solve for x
    x = 1,279,782.41/1,152.85
  6. Step 6: Final answer
    x = 1,110.11

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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.