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Finding the Fourth Proportional to 683.64, 1,025.10 and 467.28

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Solution

The fourth proportional to 683.64, 1,025.10 and 467.28 is: 700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 1,025.10 = 467.28 : x
  2. Step 2: Convert to fraction form
    683.64/1,025.10 = 467.28/x
  3. Step 3: Cross multiply
    683.64x = 1,025.10 × 467.28
  4. Step 4: Simplify right side
    683.64x = 479,008.73
  5. Step 5: Solve for x
    x = 479,008.73/683.64
  6. Step 6: Final answer
    x = 700.67

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Why These Related Problems?

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