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Finding the Fourth Proportional to 884.70, 1,328.85 and 778.95

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Solution

The fourth proportional to 884.70, 1,328.85 and 778.95 is: 1,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.70 : 1,328.85 = 778.95 : x
  2. Step 2: Convert to fraction form
    884.70/1,328.85 = 778.95/x
  3. Step 3: Cross multiply
    884.70x = 1,328.85 × 778.95
  4. Step 4: Simplify right side
    884.70x = 1,035,107.71
  5. Step 5: Solve for x
    x = 1,035,107.71/884.70
  6. Step 6: Final answer
    x = 1,170.01

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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.