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Finding the Fourth Proportional to 709.45, 1,064.12 and 319.47

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Solution

The fourth proportional to 709.45, 1,064.12 and 319.47 is: 479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 1,064.12 = 319.47 : x
  2. Step 2: Convert to fraction form
    709.45/1,064.12 = 319.47/x
  3. Step 3: Cross multiply
    709.45x = 1,064.12 × 319.47
  4. Step 4: Simplify right side
    709.45x = 339,952.82
  5. Step 5: Solve for x
    x = 339,952.82/709.45
  6. Step 6: Final answer
    x = 479.18

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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.