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Finding the Fourth Proportional to 709.56, 1,064.95 and 466.56

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Solution

The fourth proportional to 709.56, 1,064.95 and 466.56 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 1,064.95 = 466.56 : x
  2. Step 2: Convert to fraction form
    709.56/1,064.95 = 466.56/x
  3. Step 3: Cross multiply
    709.56x = 1,064.95 × 466.56
  4. Step 4: Simplify right side
    709.56x = 496,861.91
  5. Step 5: Solve for x
    x = 496,861.91/709.56
  6. Step 6: Final answer
    x = 700.24

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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.