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Finding the Fourth Proportional to 1,152.10, 1,727.63 and 330.19

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Solution

The fourth proportional to 1,152.10, 1,727.63 and 330.19 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.10 : 1,727.63 = 330.19 : x
  2. Step 2: Convert to fraction form
    1,152.10/1,727.63 = 330.19/x
  3. Step 3: Cross multiply
    1,152.10x = 1,727.63 × 330.19
  4. Step 4: Simplify right side
    1,152.10x = 570,446.15
  5. Step 5: Solve for x
    x = 570,446.15/1,152.10
  6. Step 6: Final answer
    x = 495.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.