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Finding the Fourth Proportional to 684.03, 1,025.58 and 359.63

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Solution

The fourth proportional to 684.03, 1,025.58 and 359.63 is: 539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 1,025.58 = 359.63 : x
  2. Step 2: Convert to fraction form
    684.03/1,025.58 = 359.63/x
  3. Step 3: Cross multiply
    684.03x = 1,025.58 × 359.63
  4. Step 4: Simplify right side
    684.03x = 368,829.34
  5. Step 5: Solve for x
    x = 368,829.34/684.03
  6. Step 6: Final answer
    x = 539.20

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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.