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Finding the Fourth Proportional to 683.84, 1,025.87 and 354.68

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Solution

The fourth proportional to 683.84, 1,025.87 and 354.68 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 1,025.87 = 354.68 : x
  2. Step 2: Convert to fraction form
    683.84/1,025.87 = 354.68/x
  3. Step 3: Cross multiply
    683.84x = 1,025.87 × 354.68
  4. Step 4: Simplify right side
    683.84x = 363,852.52
  5. Step 5: Solve for x
    x = 363,852.52/683.84
  6. Step 6: Final answer
    x = 532.07

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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.