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Finding the Fourth Proportional to 1,016.64, 1,523.79 and 400.05

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Solution

The fourth proportional to 1,016.64, 1,523.79 and 400.05 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,523.79 = 400.05 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,523.79 = 400.05/x
  3. Step 3: Cross multiply
    1,016.64x = 1,523.79 × 400.05
  4. Step 4: Simplify right side
    1,016.64x = 609,592.19
  5. Step 5: Solve for x
    x = 609,592.19/1,016.64
  6. Step 6: Final answer
    x = 599.61

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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.