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Finding the Fourth Proportional to 683.86, 1,026.02 and 375.30

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Solution

The fourth proportional to 683.86, 1,026.02 and 375.30 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,026.02 = 375.30 : x
  2. Step 2: Convert to fraction form
    683.86/1,026.02 = 375.30/x
  3. Step 3: Cross multiply
    683.86x = 1,026.02 × 375.30
  4. Step 4: Simplify right side
    683.86x = 385,065.31
  5. Step 5: Solve for x
    x = 385,065.31/683.86
  6. Step 6: Final answer
    x = 563.08

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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.