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Finding the Fourth Proportional to 779.53, 1,169.12 and 259.40

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Solution

The fourth proportional to 779.53, 1,169.12 and 259.40 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.53 : 1,169.12 = 259.40 : x
  2. Step 2: Convert to fraction form
    779.53/1,169.12 = 259.40/x
  3. Step 3: Cross multiply
    779.53x = 1,169.12 × 259.40
  4. Step 4: Simplify right side
    779.53x = 303,271.35
  5. Step 5: Solve for x
    x = 303,271.35/779.53
  6. Step 6: Final answer
    x = 389.05

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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.