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Finding the Fourth Proportional to 709.02, 1,064.21 and 384.62

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Solution

The fourth proportional to 709.02, 1,064.21 and 384.62 is: 577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.02 : 1,064.21 = 384.62 : x
  2. Step 2: Convert to fraction form
    709.02/1,064.21 = 384.62/x
  3. Step 3: Cross multiply
    709.02x = 1,064.21 × 384.62
  4. Step 4: Simplify right side
    709.02x = 409,309.21
  5. Step 5: Solve for x
    x = 409,309.21/709.02
  6. Step 6: Final answer
    x = 577.29

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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.