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Finding the Fourth Proportional to 1,016.30, 1,524.65 and 431.30

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Solution

The fourth proportional to 1,016.30, 1,524.65 and 431.30 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.30 : 1,524.65 = 431.30 : x
  2. Step 2: Convert to fraction form
    1,016.30/1,524.65 = 431.30/x
  3. Step 3: Cross multiply
    1,016.30x = 1,524.65 × 431.30
  4. Step 4: Simplify right side
    1,016.30x = 657,581.55
  5. Step 5: Solve for x
    x = 657,581.55/1,016.30
  6. Step 6: Final answer
    x = 647.03

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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.