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Finding the Fourth Proportional to 709.29, 1,064.10 and 276.45

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Solution

The fourth proportional to 709.29, 1,064.10 and 276.45 is: 414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 1,064.10 = 276.45 : x
  2. Step 2: Convert to fraction form
    709.29/1,064.10 = 276.45/x
  3. Step 3: Cross multiply
    709.29x = 1,064.10 × 276.45
  4. Step 4: Simplify right side
    709.29x = 294,170.45
  5. Step 5: Solve for x
    x = 294,170.45/709.29
  6. Step 6: Final answer
    x = 414.74

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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.