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Finding the Fourth Proportional to 1,016.94, 1,525.57 and 431.94

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Solution

The fourth proportional to 1,016.94, 1,525.57 and 431.94 is: 647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.94 : 1,525.57 = 431.94 : x
  2. Step 2: Convert to fraction form
    1,016.94/1,525.57 = 431.94/x
  3. Step 3: Cross multiply
    1,016.94x = 1,525.57 × 431.94
  4. Step 4: Simplify right side
    1,016.94x = 658,954.71
  5. Step 5: Solve for x
    x = 658,954.71/1,016.94
  6. Step 6: Final answer
    x = 647.98

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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.