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Finding the Fourth Proportional to 1,016.96, 1,524.24 and 431.07

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Solution

The fourth proportional to 1,016.96, 1,524.24 and 431.07 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.96 : 1,524.24 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,016.96/1,524.24 = 431.07/x
  3. Step 3: Cross multiply
    1,016.96x = 1,524.24 × 431.07
  4. Step 4: Simplify right side
    1,016.96x = 657,054.14
  5. Step 5: Solve for x
    x = 657,054.14/1,016.96
  6. Step 6: Final answer
    x = 646.10

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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.