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Finding the Fourth Proportional to 709.50, 1,064.73 and 253.50

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Solution

The fourth proportional to 709.50, 1,064.73 and 253.50 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,064.73 = 253.50 : x
  2. Step 2: Convert to fraction form
    709.50/1,064.73 = 253.50/x
  3. Step 3: Cross multiply
    709.50x = 1,064.73 × 253.50
  4. Step 4: Simplify right side
    709.50x = 269,909.06
  5. Step 5: Solve for x
    x = 269,909.06/709.50
  6. Step 6: Final answer
    x = 380.42

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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.