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Finding the Fourth Proportional to 1,152.54, 1,728.90 and 361.84

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Solution

The fourth proportional to 1,152.54, 1,728.90 and 361.84 is: 542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.54 : 1,728.90 = 361.84 : x
  2. Step 2: Convert to fraction form
    1,152.54/1,728.90 = 361.84/x
  3. Step 3: Cross multiply
    1,152.54x = 1,728.90 × 361.84
  4. Step 4: Simplify right side
    1,152.54x = 625,585.18
  5. Step 5: Solve for x
    x = 625,585.18/1,152.54
  6. Step 6: Final answer
    x = 542.79

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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.