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Finding the Fourth Proportional to 959.69, 1,437.84 and 684.36

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Solution

The fourth proportional to 959.69, 1,437.84 and 684.36 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.69 : 1,437.84 = 684.36 : x
  2. Step 2: Convert to fraction form
    959.69/1,437.84 = 684.36/x
  3. Step 3: Cross multiply
    959.69x = 1,437.84 × 684.36
  4. Step 4: Simplify right side
    959.69x = 984,000.18
  5. Step 5: Solve for x
    x = 984,000.18/959.69
  6. Step 6: Final answer
    x = 1,025.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.