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Finding the Fourth Proportional to 683.61, 1,025.70 and 464.48

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Solution

The fourth proportional to 683.61, 1,025.70 and 464.48 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.61 : 1,025.70 = 464.48 : x
  2. Step 2: Convert to fraction form
    683.61/1,025.70 = 464.48/x
  3. Step 3: Cross multiply
    683.61x = 1,025.70 × 464.48
  4. Step 4: Simplify right side
    683.61x = 476,417.14
  5. Step 5: Solve for x
    x = 476,417.14/683.61
  6. Step 6: Final answer
    x = 696.91

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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.