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Finding the Fourth Proportional to 683.66, 1,024.54 and 375.14

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Solution

The fourth proportional to 683.66, 1,024.54 and 375.14 is: 562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 1,024.54 = 375.14 : x
  2. Step 2: Convert to fraction form
    683.66/1,024.54 = 375.14/x
  3. Step 3: Cross multiply
    683.66x = 1,024.54 × 375.14
  4. Step 4: Simplify right side
    683.66x = 384,339.88
  5. Step 5: Solve for x
    x = 384,339.88/683.66
  6. Step 6: Final answer
    x = 562.18

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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.