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Finding the Fourth Proportional to 709.93, 1,065.16 and 319.82

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Solution

The fourth proportional to 709.93, 1,065.16 and 319.82 is: 479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.93 : 1,065.16 = 319.82 : x
  2. Step 2: Convert to fraction form
    709.93/1,065.16 = 319.82/x
  3. Step 3: Cross multiply
    709.93x = 1,065.16 × 319.82
  4. Step 4: Simplify right side
    709.93x = 340,654.55
  5. Step 5: Solve for x
    x = 340,654.55/709.93
  6. Step 6: Final answer
    x = 479.84

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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.