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Finding the Fourth Proportional to 782.40, 1,173.60 and 689.60

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Solution

The fourth proportional to 782.40, 1,173.60 and 689.60 is: 1,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,173.60 = 689.60 : x
  2. Step 2: Convert to fraction form
    782.40/1,173.60 = 689.60/x
  3. Step 3: Cross multiply
    782.40x = 1,173.60 × 689.60
  4. Step 4: Simplify right side
    782.40x = 809,314.56
  5. Step 5: Solve for x
    x = 809,314.56/782.40
  6. Step 6: Final answer
    x = 1,034.40

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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.