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Finding the Fourth Proportional to 1,509.20, 2,265 and 778.98

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Solution

The fourth proportional to 1,509.20, 2,265 and 778.98 is: 1,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,265 = 778.98 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,265 = 778.98/x
  3. Step 3: Cross multiply
    1,509.20x = 2,265 × 778.98
  4. Step 4: Simplify right side
    1,509.20x = 1,764,389.70
  5. Step 5: Solve for x
    x = 1,764,389.70/1,509.20
  6. Step 6: Final answer
    x = 1,169.09

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1.5x scale

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.