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Finding the Fourth Proportional to 709.66, 1,064.48 and 385.12

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Solution

The fourth proportional to 709.66, 1,064.48 and 385.12 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.66 : 1,064.48 = 385.12 : x
  2. Step 2: Convert to fraction form
    709.66/1,064.48 = 385.12/x
  3. Step 3: Cross multiply
    709.66x = 1,064.48 × 385.12
  4. Step 4: Simplify right side
    709.66x = 409,952.54
  5. Step 5: Solve for x
    x = 409,952.54/709.66
  6. Step 6: Final answer
    x = 577.67

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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.