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Finding the Fourth Proportional to 1,152.66, 1,728.39 and 411.98

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Solution

The fourth proportional to 1,152.66, 1,728.39 and 411.98 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.66 : 1,728.39 = 411.98 : x
  2. Step 2: Convert to fraction form
    1,152.66/1,728.39 = 411.98/x
  3. Step 3: Cross multiply
    1,152.66x = 1,728.39 × 411.98
  4. Step 4: Simplify right side
    1,152.66x = 712,066.43
  5. Step 5: Solve for x
    x = 712,066.43/1,152.66
  6. Step 6: Final answer
    x = 617.76

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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.