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Finding the Fourth Proportional to 709.85, 1,064.34 and 276.50

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Solution

The fourth proportional to 709.85, 1,064.34 and 276.50 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 1,064.34 = 276.50 : x
  2. Step 2: Convert to fraction form
    709.85/1,064.34 = 276.50/x
  3. Step 3: Cross multiply
    709.85x = 1,064.34 × 276.50
  4. Step 4: Simplify right side
    709.85x = 294,290.01
  5. Step 5: Solve for x
    x = 294,290.01/709.85
  6. Step 6: Final answer
    x = 414.58

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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.