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Finding the Fourth Proportional to 779.20, 1,169.00 and 292.25

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Solution

The fourth proportional to 779.20, 1,169.00 and 292.25 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,169.00 = 292.25 : x
  2. Step 2: Convert to fraction form
    779.20/1,169.00 = 292.25/x
  3. Step 3: Cross multiply
    779.20x = 1,169.00 × 292.25
  4. Step 4: Simplify right side
    779.20x = 341,638.79
  5. Step 5: Solve for x
    x = 341,638.79/779.20
  6. Step 6: Final answer
    x = 438.45

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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.