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Finding the Fourth Proportional to 1,016.50, 1,525.26 and 400.64

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Solution

The fourth proportional to 1,016.50, 1,525.26 and 400.64 is: 601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.50 : 1,525.26 = 400.64 : x
  2. Step 2: Convert to fraction form
    1,016.50/1,525.26 = 400.64/x
  3. Step 3: Cross multiply
    1,016.50x = 1,525.26 × 400.64
  4. Step 4: Simplify right side
    1,016.50x = 611,086.09
  5. Step 5: Solve for x
    x = 611,086.09/1,016.50
  6. Step 6: Final answer
    x = 601.17

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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.