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Finding the Fourth Proportional to 779.45, 1,169.58 and 346.64

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Solution

The fourth proportional to 779.45, 1,169.58 and 346.64 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.45 : 1,169.58 = 346.64 : x
  2. Step 2: Convert to fraction form
    779.45/1,169.58 = 346.64/x
  3. Step 3: Cross multiply
    779.45x = 1,169.58 × 346.64
  4. Step 4: Simplify right side
    779.45x = 405,423.21
  5. Step 5: Solve for x
    x = 405,423.21/779.45
  6. Step 6: Final answer
    x = 520.14

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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.